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Simplifying 2x(-4x3 + 8x2) = 0 Reorder the terms: 2x(8x2 + -4x3) = 0 (8x2 * 2x + -4x3 * 2x) = 0 (16x3 + -8x4) = 0 Solving 16x3 + -8x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x3'. 8x3(2 + -1x) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = {2}
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