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Simplifying x2 = 128 + -8x Solving x2 = 128 + -8x Solving for variable 'x'. Reorder the terms: -128 + 8x + x2 = 128 + -8x + -128 + 8x Reorder the terms: -128 + 8x + x2 = 128 + -128 + -8x + 8x Combine like terms: 128 + -128 = 0 -128 + 8x + x2 = 0 + -8x + 8x -128 + 8x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -128 + 8x + x2 = 0 Factor a trinomial. (-16 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-16, 8}
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