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Simplifying x2 + -8x = 4x + -32 Reorder the terms: -8x + x2 = 4x + -32 Reorder the terms: -8x + x2 = -32 + 4x Solving -8x + x2 = -32 + 4x Solving for variable 'x'. Reorder the terms: 32 + -8x + -4x + x2 = -32 + 4x + 32 + -4x Combine like terms: -8x + -4x = -12x 32 + -12x + x2 = -32 + 4x + 32 + -4x Reorder the terms: 32 + -12x + x2 = -32 + 32 + 4x + -4x Combine like terms: -32 + 32 = 0 32 + -12x + x2 = 0 + 4x + -4x 32 + -12x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 32 + -12x + x2 = 0 Factor a trinomial. (4 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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 = {4, 8}
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