x^3=30x

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Solution for x^3=30x equation:


Simplifying
x3 = 30x

Solving
x3 = 30x

Solving for variable 'x'.

Reorder the terms:
-30x + x3 = 30x + -30x

Combine like terms: 30x + -30x = 0
-30x + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + 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 '(-30 + x2)' equal to zero and attempt to solve: Simplifying -30 + x2 = 0 Solving -30 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + x2 = 0 + 30 Combine like terms: -30 + 30 = 0 0 + x2 = 0 + 30 x2 = 0 + 30 Combine like terms: 0 + 30 = 30 x2 = 30 Simplifying x2 = 30 Take the square root of each side: x = {-5.477225575, 5.477225575}

Solution

x = {0, -5.477225575, 5.477225575}

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