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Simplifying (x + -2)(x + -8) = -9 Reorder the terms: (-2 + x)(x + -8) = -9 Reorder the terms: (-2 + x)(-8 + x) = -9 Multiply (-2 + x) * (-8 + x) (-2(-8 + x) + x(-8 + x)) = -9 ((-8 * -2 + x * -2) + x(-8 + x)) = -9 ((16 + -2x) + x(-8 + x)) = -9 (16 + -2x + (-8 * x + x * x)) = -9 (16 + -2x + (-8x + x2)) = -9 Combine like terms: -2x + -8x = -10x (16 + -10x + x2) = -9 Solving 16 + -10x + x2 = -9 Solving for variable 'x'. Reorder the terms: 16 + 9 + -10x + x2 = -9 + 9 Combine like terms: 16 + 9 = 25 25 + -10x + x2 = -9 + 9 Combine like terms: -9 + 9 = 0 25 + -10x + x2 = 0 Factor a trinomial. (5 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {5, 5}
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