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Simplifying 64x3 + -125x = 0 Reorder the terms: -125x + 64x3 = 0 Solving -125x + 64x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-125 + 64x2) = 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 '(-125 + 64x2)' equal to zero and attempt to solve: Simplifying -125 + 64x2 = 0 Solving -125 + 64x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 64x2 = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 64x2 = 0 + 125 64x2 = 0 + 125 Combine like terms: 0 + 125 = 125 64x2 = 125 Divide each side by '64'. x2 = 1.953125 Simplifying x2 = 1.953125 Take the square root of each side: x = {-1.397542486, 1.397542486}Solution
x = {0, -1.397542486, 1.397542486}
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