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Simplifying (3x)(4x) = 12x Remove parenthesis around (3x) 3x(4x) = 12x Remove parenthesis around (4x) 3x * 4x = 12x Reorder the terms for easier multiplication: 3 * 4x * x = 12x Multiply 3 * 4 12x * x = 12x Multiply x * x 12x^{2}= 12x Solving 12x^{2}= 12x Solving for variable 'x'. Reorder the terms: -12x + 12x^{2}= 12x + -12x Combine like terms: 12x + -12x = 0 -12x + 12x^{2}= 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-1 + x) = 0 Ignore the factor 12.## Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0## Subproblem 2

Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 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 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1## Solution

x = {0, 1}

| -3n+7n= | | 21x-7=1+17x | | 6x+12=2g+24 | | 4(a-2)+9=29 | | 4=3x+2y | | 3k-1=7k+2m | | 78=22-8t | | 8.1-8.9= | | W-15=4w+15 | | 5x-30-6x=-3 | | 3b+6.25=34.60 | | 6.5-7.2= | | 2x+4-3x=5-x-1 | | 12(c-8)+15+4c=1711 | | .75x-33=.7x-24 | | n+12=91 | | (6x+7)+4+(2x+5)=3x+11 | | (X^3)+(7x^2)-x-7=0 | | 29x=40 | | 1110-76=-16t^2 | | 96=(x+4)*(x+8) | | w^2+w-1=0 | | -10.9+6.1= | | (2x^3-2x^2+4x)+(3x^3+6x^2-12x)= | | -2x+8=-12-6x | | 4p+8=15+13p | | -5b+b= | | 2(3x-2)=2 | | 12.73h+.06=13.48h-.14 | | -100+25-75+50+50= | | (4+3i)-(2+i)= | | 2x-23+x=18+x | | 13.7+3.2= | | 4x-7y=-9 | | 7x-18=-2 | | x+3x+5x-36=9(x-4) | | .75x-33=.7-24 | | 18-6y=-6 | | 4(x-8)=6x-28 | | 100-x+10=180 | | -4x-9-5x=-23 | | 20x-4(-5)=-20 | | 8-5x=10-7x | | 9.28+2x=18.4 | | -2=85.7142p | | -100+x=8 | | .9x+.05(10-x)=.10(-46) | | -7.1+3.63= | | 39=5(x+7)-7x | | 2x-2=-6x+8x | | 7x^3+x^2+69x+54=0 | | -7+4-20+18= | | .9x+.05(10-x)=10(-46) | | -7n-4=-4(n-6)-4 | | 13=-5.2+a | | -4.3+14.5= | | x^2+x^2+1=61 | | s=p-4.3 | | 13=-5(5x+2)-2 | | 0.90x+.05(10-5)=10(-46) | | p-403=s | | -3x^2(2x^2-5x^3)= | | 1000-325m=2500-325m | | 11n-6n=6 | | 13x+15+=11x-25 |

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