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Simplifying (x + -9)(x + -9) = 9 Reorder the terms: (-9 + x)(x + -9) = 9 Reorder the terms: (-9 + x)(-9 + x) = 9 Multiply (-9 + x) * (-9 + x) (-9(-9 + x) + x(-9 + x)) = 9 ((-9 * -9 + x * -9) + x(-9 + x)) = 9 ((81 + -9x) + x(-9 + x)) = 9 (81 + -9x + (-9 * x + x * x)) = 9 (81 + -9x + (-9x + x2)) = 9 Combine like terms: -9x + -9x = -18x (81 + -18x + x2) = 9 Solving 81 + -18x + x2 = 9 Solving for variable 'x'. Reorder the terms: 81 + -9 + -18x + x2 = 9 + -9 Combine like terms: 81 + -9 = 72 72 + -18x + x2 = 9 + -9 Combine like terms: 9 + -9 = 0 72 + -18x + x2 = 0 Factor a trinomial. (6 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {6, 12}
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