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Simplifying -2x2 = -16x + 32 Reorder the terms: -2x2 = 32 + -16x Solving -2x2 = 32 + -16x Solving for variable 'x'. Reorder the terms: -32 + 16x + -2x2 = 32 + -16x + -32 + 16x Reorder the terms: -32 + 16x + -2x2 = 32 + -32 + -16x + 16x Combine like terms: 32 + -32 = 0 -32 + 16x + -2x2 = 0 + -16x + 16x -32 + 16x + -2x2 = -16x + 16x Combine like terms: -16x + 16x = 0 -32 + 16x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + 8x + -1x2) = 0 Factor a trinomial. 2((-4 + x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
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 = 4Solution
x = {4, 4}
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