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Simplifying 0 = 2x(4x + -8) Reorder the terms: 0 = 2x(-8 + 4x) 0 = (-8 * 2x + 4x * 2x) 0 = (-16x + 8x2) Solving 0 = -16x + 8x2 Solving for variable 'x'. Remove the zero: 16x + -8x2 = -16x + 8x2 + 16x + -8x2 Reorder the terms: 16x + -8x2 = -16x + 16x + 8x2 + -8x2 Combine like terms: -16x + 16x = 0 16x + -8x2 = 0 + 8x2 + -8x2 16x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 16x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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