x^3=18x

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Solution for x^3=18x equation:


Simplifying
x3 = 18x

Solving
x3 = 18x

Solving for variable 'x'.

Reorder the terms:
-18x + x3 = 18x + -18x

Combine like terms: 18x + -18x = 0
-18x + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18 + 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 '(-18 + x2)' equal to zero and attempt to solve: Simplifying -18 + x2 = 0 Solving -18 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x2 = 0 + 18 x2 = 0 + 18 Combine like terms: 0 + 18 = 18 x2 = 18 Simplifying x2 = 18 Take the square root of each side: x = {-4.242640687, 4.242640687}

Solution

x = {0, -4.242640687, 4.242640687}

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