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Simplifying 2x(2x + -16) = -64 Reorder the terms: 2x(-16 + 2x) = -64 (-16 * 2x + 2x * 2x) = -64 (-32x + 4x2) = -64 Solving -32x + 4x2 = -64 Solving for variable 'x'. Reorder the terms: 64 + -32x + 4x2 = -64 + 64 Combine like terms: -64 + 64 = 0 64 + -32x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(16 + -8x + x2) = 0 Factor a trinomial. 4((4 + -1x)(4 + -1x)) = 0 Ignore the factor 4.Subproblem 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 '(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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