x^3=256x

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Solution for x^3=256x equation:


Simplifying
x3 = 256x

Solving
x3 = 256x

Solving for variable 'x'.

Reorder the terms:
-256x + x3 = 256x + -256x

Combine like terms: 256x + -256x = 0
-256x + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-256 + x2) = 0

Factor a difference between two squares.
x((16 + x)(-16 + x)) = 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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16

Subproblem 3

Set the factor '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16

Solution

x = {0, -16, 16}

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