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Simplifying 0 = x3 + -512x Reorder the terms: 0 = -512x + x3 Solving 0 = -512x + x3 Solving for variable 'x'. Remove the zero: 512x + -1x3 = -512x + x3 + 512x + -1x3 Reorder the terms: 512x + -1x3 = -512x + 512x + x3 + -1x3 Combine like terms: -512x + 512x = 0 512x + -1x3 = 0 + x3 + -1x3 512x + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 512x + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(512 + -1x2) = 0Subproblem 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 '(512 + -1x2)' equal to zero and attempt to solve: Simplifying 512 + -1x2 = 0 Solving 512 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-512' to each side of the equation. 512 + -512 + -1x2 = 0 + -512 Combine like terms: 512 + -512 = 0 0 + -1x2 = 0 + -512 -1x2 = 0 + -512 Combine like terms: 0 + -512 = -512 -1x2 = -512 Divide each side by '-1'. x2 = 512 Simplifying x2 = 512 Take the square root of each side: x = {-22.627416998, 22.627416998}Solution
x = {0, -22.627416998, 22.627416998}
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