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Simplifying 0 = 128x + -16x2 Solving 0 = 128x + -16x2 Solving for variable 'x'. Remove the zero: -128x + 16x2 = 128x + -16x2 + -128x + 16x2 Reorder the terms: -128x + 16x2 = 128x + -128x + -16x2 + 16x2 Combine like terms: 128x + -128x = 0 -128x + 16x2 = 0 + -16x2 + 16x2 -128x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -128x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16x'. 16x(-8 + x) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Solution
x = {0, 8}
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