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Simplifying 4x2 + -16x = 128 Reorder the terms: -16x + 4x2 = 128 Solving -16x + 4x2 = 128 Solving for variable 'x'. Reorder the terms: -128 + -16x + 4x2 = 128 + -128 Combine like terms: 128 + -128 = 0 -128 + -16x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-32 + -4x + x2) = 0 Factor a trinomial. 4((-4 + -1x)(8 + -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 '(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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