4x(x-2)=100

Simple and best practice solution for 4x(x-2)=100 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4x(x-2)=100 equation:


Simplifying
4x(x + -2) = 100
Reorder the terms:
4x(-2 + x) = 100
(-2 * 4x + x * 4x) = 100
(-8x + 4x2) = 100
Solving
-8x + 4x2 = 100
Solving for variable 'x'.
Reorder the terms:
-100 + -8x + 4x2 = 100 + -100
Combine like terms: 100 + -100 = 0
-100 + -8x + 4x2 = 0
Factor out the Greatest Common Factor (GCF), '4'.
4(-25 + -2x + x2) = 0
Ignore the factor 4.

Subproblem 1

Set the factor '(-25 + -2x + x2)' equal to zero and attempt to solve: Simplifying -25 + -2x + x2 = 0 Solving -25 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '25' to each side of the equation. -25 + -2x + 25 + x2 = 0 + 25 Reorder the terms: -25 + 25 + -2x + x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -2x + x2 = 0 + 25 -2x + x2 = 0 + 25 Combine like terms: 0 + 25 = 25 -2x + x2 = 25 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = 25 + 1 Reorder the terms: 1 + -2x + x2 = 25 + 1 Combine like terms: 25 + 1 = 26 1 + -2x + x2 = 26 Factor a perfect square on the left side: (x + -1)(x + -1) = 26 Calculate the square root of the right side: 5.099019514 Break this problem into two subproblems by setting (x + -1) equal to 5.099019514 and -5.099019514.

Subproblem 1

x + -1 = 5.099019514 Simplifying x + -1 = 5.099019514 Reorder the terms: -1 + x = 5.099019514 Solving -1 + x = 5.099019514 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 5.099019514 + 1 Combine like terms: -1 + 1 = 0 0 + x = 5.099019514 + 1 x = 5.099019514 + 1 Combine like terms: 5.099019514 + 1 = 6.099019514 x = 6.099019514 Simplifying x = 6.099019514

Subproblem 2

x + -1 = -5.099019514 Simplifying x + -1 = -5.099019514 Reorder the terms: -1 + x = -5.099019514 Solving -1 + x = -5.099019514 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -5.099019514 + 1 Combine like terms: -1 + 1 = 0 0 + x = -5.099019514 + 1 x = -5.099019514 + 1 Combine like terms: -5.099019514 + 1 = -4.099019514 x = -4.099019514 Simplifying x = -4.099019514

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.099019514, -4.099019514}

Solution

x = {6.099019514, -4.099019514}

You can always share this solution

See similar equations:

| (5v+4)(3-v)=0 | | -4x+5+3x=x+3 | | 4(3x-2)=3(x+6)+6 | | 0.33(x-6)=3x-2(x-1)+6.667 | | -y+4=-4y+1 | | 102=-11x+16-19 | | (7-x)(x-12)=6 | | 1000+700+5x=750+200+10x | | -x+18=7 | | 10=2(x-3)+4 | | 2x+24=3x-12 | | -9x+(3)=18 | | 5p+9q=59 | | 6y+2y=12 | | 5p+9q= | | n^2-n-756=0 | | -z+11=4z-4 | | X=6x^2-11x-10 | | -x-5y=7 | | -6x-8=2(-3x-4) | | f(x)=6x^2-11x-10 | | log[2](32)=x | | 1.6x-3.4=2.9x-0.8 | | log[5](3x)+log[5](x)=log[5](12) | | 8x+20=116 | | P=3t+19.3 | | -0.3(a-7)=-1.3(a+1) | | (-6i)(7i)(3i)= | | 90-(-19)= | | x^2+30x+1=8(5x-2) | | 7w-14=0 | | 52=7x-2-4 | | -3w-16=-19 | | 9x-4(x+2)=2x-23 | | 2x+5+4=25 | | 0=8t+11 | | 3(y-1)-2(y+4)= | | 6e^3x-1=24 | | -9n-8+5n= | | x(2x-4)=(2x-4)(x-2) | | 3(p+5)-2(p+3)=10 | | 2z-zy+x=4 | | 5(t-4)+7t=4(3t+3)-9 | | 1=4u+5 | | 5x+7=14.5 | | -15=-7x+6 | | findR(x)usingp(x)=80-3x | | 12d+9-6d-8= | | 41=x-6+18 | | 2(r-3)+3(1+r)=12 | | 48x-29-13x=-139 | | 10x^2-x^3-3x^2=0 | | 2x+7x+8x=119 | | -3+4p=(-31) | | x^2-3x=-12 | | x^2-14+39=0 | | 4(h-2)=20 | | 6250=x*7 | | 1x=36x | | 10x-7y=35 | | m(1+2)=3 | | 3s-30s=36 | | -3.6w-8.5=1.3 | | 3.4=-13.6+(-3.4c)1.7c | | 8s-20=-83+s |


Related pages


x 5y graphcalculator to divide fractions4x 2y 2prime factorization for 240sqrt x 2 y 2fractions addition calculator3x 4y 24360-180graph y 2x-6square root of 7225sqartgcf of monomials calculatorvf 2 vi 2 2adsin3x 12x 5x 7ln2 ln3factoring 2x 2square root of 43560cosx 2sinx 1 0177-99roman numeral for 65the prime factorization of 56what is the derivative of cosx8y 9derivative of 1 tanxq1ofunction derivative calculatoraplus.cmcss.nety 4y 5y 02cosxsinxppqrstsenx senxfactor 6x 2 11x 3roman numerals 99derivative of 2x 3mathsolutions.com3 fourths as a decimalgreatest common factor of 1201001 roman numeralswhat is the prime factorization of 23170-68derivative cos 3xprime factorization of 101common multiples of 7 and 412.50 x 12graph 2x y 5log5 5 73x-2y 8 solve for yhrtv1square root of 3481derive ln x 2derivative of sinx cosx1 0.999999999what is twenty percent of fifty dollars2 sqrt 3solve 2sinx-1 0prime factorization of 69solve 2x 6 10prime factorization 240square root of 43560derivative of cos 2t2001 roman numerals1099x150 000 pounds to dollarsgreatest common factor of 54 and 36factorise 6m 2lcm of 9solve 5x 2y 7 10x 4y 14factor the expression using gcfthe derivative of cosxsqrt 72prime factors of 2451 cos 6xcommon multiples of 20 and 25multiples of ninex 3 4x graph