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Simplifying 0 = -8x(x + -4) Reorder the terms: 0 = -8x(-4 + x) 0 = (-4 * -8x + x * -8x) 0 = (32x + -8x2) Solving 0 = 32x + -8x2 Solving for variable 'x'. Remove the zero: -32x + 8x2 = 32x + -8x2 + -32x + 8x2 Reorder the terms: -32x + 8x2 = 32x + -32x + -8x2 + 8x2 Combine like terms: 32x + -32x = 0 -32x + 8x2 = 0 + -8x2 + 8x2 -32x + 8x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 -32x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-4 + x) = 0 Ignore the factor 8.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 '(-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 = 4Solution
x = {0, 4}
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