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Simplifying 125x3 + -64x = 0 Reorder the terms: -64x + 125x3 = 0 Solving -64x + 125x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-64 + 125x2) = 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 '(-64 + 125x2)' equal to zero and attempt to solve: Simplifying -64 + 125x2 = 0 Solving -64 + 125x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 125x2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 125x2 = 0 + 64 125x2 = 0 + 64 Combine like terms: 0 + 64 = 64 125x2 = 64 Divide each side by '125'. x2 = 0.512 Simplifying x2 = 0.512 Take the square root of each side: x = {-0.715541753, 0.715541753}Solution
x = {0, -0.715541753, 0.715541753}
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