x^3=125x

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Solution for x^3=125x equation:


Simplifying
x3 = 125x

Solving
x3 = 125x

Solving for variable 'x'.

Reorder the terms:
-125x + x3 = 125x + -125x

Combine like terms: 125x + -125x = 0
-125x + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-125 + x2) = 0

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 = 0

Subproblem 2

Set the factor '(-125 + x2)' equal to zero and attempt to solve: Simplifying -125 + x2 = 0 Solving -125 + x2 = 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 + x2 = 0 + 125 Combine like terms: -125 + 125 = 0 0 + x2 = 0 + 125 x2 = 0 + 125 Combine like terms: 0 + 125 = 125 x2 = 125 Simplifying x2 = 125 Take the square root of each side: x = {-11.180339887, 11.180339887}

Solution

x = {0, -11.180339887, 11.180339887}

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