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Simplifying (6 + -2x)(6 + -2x) + -144 = 0 Multiply (6 + -2x) * (6 + -2x) (6(6 + -2x) + -2x * (6 + -2x)) + -144 = 0 ((6 * 6 + -2x * 6) + -2x * (6 + -2x)) + -144 = 0 ((36 + -12x) + -2x * (6 + -2x)) + -144 = 0 (36 + -12x + (6 * -2x + -2x * -2x)) + -144 = 0 (36 + -12x + (-12x + 4x2)) + -144 = 0 Combine like terms: -12x + -12x = -24x (36 + -24x + 4x2) + -144 = 0 Reorder the terms: 36 + -144 + -24x + 4x2 = 0 Combine like terms: 36 + -144 = -108 -108 + -24x + 4x2 = 0 Solving -108 + -24x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-27 + -6x + x2) = 0 Factor a trinomial. 4((-3 + -1x)(9 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-3, 9}
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