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Simplifying (x + -8)(x + -8) = 81 Reorder the terms: (-8 + x)(x + -8) = 81 Reorder the terms: (-8 + x)(-8 + x) = 81 Multiply (-8 + x) * (-8 + x) (-8(-8 + x) + x(-8 + x)) = 81 ((-8 * -8 + x * -8) + x(-8 + x)) = 81 ((64 + -8x) + x(-8 + x)) = 81 (64 + -8x + (-8 * x + x * x)) = 81 (64 + -8x + (-8x + x2)) = 81 Combine like terms: -8x + -8x = -16x (64 + -16x + x2) = 81 Solving 64 + -16x + x2 = 81 Solving for variable 'x'. Reorder the terms: 64 + -81 + -16x + x2 = 81 + -81 Combine like terms: 64 + -81 = -17 -17 + -16x + x2 = 81 + -81 Combine like terms: 81 + -81 = 0 -17 + -16x + x2 = 0 Factor a trinomial. (-1 + -1x)(17 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-1, 17}
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