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Simplifying 0 = 4x3 + -256x Reorder the terms: 0 = -256x + 4x3 Solving 0 = -256x + 4x3 Solving for variable 'x'. Remove the zero: 256x + -4x3 = -256x + 4x3 + 256x + -4x3 Reorder the terms: 256x + -4x3 = -256x + 256x + 4x3 + -4x3 Combine like terms: -256x + 256x = 0 256x + -4x3 = 0 + 4x3 + -4x3 256x + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 256x + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(64 + -1x2) = 0 Factor a difference between two squares. 4x((8 + x)(8 + -1x)) = 0 Ignore the factor 4.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 = -8Subproblem 3
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 = {0, -8, 8}
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