x^3=189x

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Solution for x^3=189x equation:


Simplifying
x3 = 189x

Solving
x3 = 189x

Solving for variable 'x'.

Reorder the terms:
-189x + x3 = 189x + -189x

Combine like terms: 189x + -189x = 0
-189x + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-189 + 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 '(-189 + x2)' equal to zero and attempt to solve: Simplifying -189 + x2 = 0 Solving -189 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '189' to each side of the equation. -189 + 189 + x2 = 0 + 189 Combine like terms: -189 + 189 = 0 0 + x2 = 0 + 189 x2 = 0 + 189 Combine like terms: 0 + 189 = 189 x2 = 189 Simplifying x2 = 189 Take the square root of each side: x = {-13.747727085, 13.747727085}

Solution

x = {0, -13.747727085, 13.747727085}

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