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Simplifying (8a + -14)(2a + -6) = 0 Reorder the terms: (-14 + 8a)(2a + -6) = 0 Reorder the terms: (-14 + 8a)(-6 + 2a) = 0 Multiply (-14 + 8a) * (-6 + 2a) (-14(-6 + 2a) + 8a * (-6 + 2a)) = 0 ((-6 * -14 + 2a * -14) + 8a * (-6 + 2a)) = 0 ((84 + -28a) + 8a * (-6 + 2a)) = 0 (84 + -28a + (-6 * 8a + 2a * 8a)) = 0 (84 + -28a + (-48a + 16a^{2})) = 0 Combine like terms: -28a + -48a = -76a (84 + -76a + 16a^{2}) = 0 Solving 84 + -76a + 16a^{2}= 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(21 + -19a + 4a^{2}) = 0 Factor a trinomial. 4((7 + -4a)(3 + -1a)) = 0 Ignore the factor 4.## Subproblem 1

Set the factor '(7 + -4a)' equal to zero and attempt to solve: Simplifying 7 + -4a = 0 Solving 7 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 0 + -7 -4a = 0 + -7 Combine like terms: 0 + -7 = -7 -4a = -7 Divide each side by '-4'. a = 1.75 Simplifying a = 1.75## Subproblem 2

Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3## Solution

a = {1.75, 3}

| A-B/B | | 8x-3=5x+36 | | 8x-3=5+36 | | 2(a-8)+7=5(a+2)-3a | | 4+3x/7+4-x/2=43/14 | | -4(3t+2)= | | (3/x)-(1/x+3) | | 1/9(2m-16)=1/3(2n+4) | | 7=14/x | | (7/2)^-2 | | 2x-3(x+2)= | | 4s+18=3(s+8) | | 2(p+5)-1(9+p)=-3 | | 125/10+1x=16.75 | | 1.3q-1.5-1.1q=-0.8q-5.7 | | 5x-7+6x+6=180 | | 3(x+2)+8=2(x+1) | | 125/10+1x=18.1 | | 21.3=-4.9x^2+21.3x | | 3x^2-72x+320=0 | | 0=-4.9x^2+21.3x | | 36/100=x/60 | | 9x=4y-32 | | 20n+5=24n-40 | | 320+80m=7208-20m | | -7/4+1/5u=-7/3 | | 200=5.5x | | x(x-3)=x^2+6x+5 | | 9x-4(x-2)=x | | -3x+9=-40+4x | | 17x+13-25x-9= | | 8g-10=7g+15 | | 2x+12(2*4)=250 | | 91=.5h(6+7) | | 6-4x-x=-24 | | 3x-6x-8=-3x+7-8 | | (0.12)squared= | | 2(7x+4)=4x-6(2-x) | | 7x+8y+9z=100 | | x+3(x-5)=9 | | (16x^5-24x^4)/4x^2 | | x+2(6)=12 | | 11x^2-26x+21=0 | | 3.9x+5=12-x | | 16*-11= | | -6x-14=3x+13 | | 6(x-1)-5=2x+4(-3+x) | | y-6+2y=12 | | x/2-5=x/5-23 | | 4.4x+1.5=32.3 | | 8p-15=30+2p | | z^2-8z-9=0 | | 9(y+2)+y=2(y+5)+7 | | 2/9=x+3/2 | | -5(t-3)+7t=5t-6 | | 5(4-y)/2=-y | | -7(2x-2)+6=-14x+20 | | 5x-1=5(x-1) | | (x^2+7x+2)-(2x^2-x+6)= | | 4a+2ab-4ab+3= | | z^2+8z-20=0 | | y/5+9=20 | | 5(5x+1)=25x+5 | | 0.02(y-1)+0.18y=0.12y-0.2 | | 1+4x7+(5-2)2/(7-4) |

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