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Simplifying (x + -6)(x + -6) = 9 Reorder the terms: (-6 + x)(x + -6) = 9 Reorder the terms: (-6 + x)(-6 + x) = 9 Multiply (-6 + x) * (-6 + x) (-6(-6 + x) + x(-6 + x)) = 9 ((-6 * -6 + x * -6) + x(-6 + x)) = 9 ((36 + -6x) + x(-6 + x)) = 9 (36 + -6x + (-6 * x + x * x)) = 9 (36 + -6x + (-6x + x2)) = 9 Combine like terms: -6x + -6x = -12x (36 + -12x + x2) = 9 Solving 36 + -12x + x2 = 9 Solving for variable 'x'. Reorder the terms: 36 + -9 + -12x + x2 = 9 + -9 Combine like terms: 36 + -9 = 27 27 + -12x + x2 = 9 + -9 Combine like terms: 9 + -9 = 0 27 + -12x + x2 = 0 Factor a trinomial. (3 + -1x)(9 + -1x) = 0Subproblem 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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