0=X^3-216X

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Solution for 0=X^3-216X equation:


Simplifying
0 = X3 + -216X

Reorder the terms:
0 = -216X + X3

Solving
0 = -216X + X3

Solving for variable 'X'.
Remove the zero:
216X + -1X3 = -216X + X3 + 216X + -1X3

Reorder the terms:
216X + -1X3 = -216X + 216X + X3 + -1X3

Combine like terms: -216X + 216X = 0
216X + -1X3 = 0 + X3 + -1X3
216X + -1X3 = X3 + -1X3

Combine like terms: X3 + -1X3 = 0
216X + -1X3 = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(216 + -1X2) = 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 '(216 + -1X2)' equal to zero and attempt to solve: Simplifying 216 + -1X2 = 0 Solving 216 + -1X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + -1X2 = 0 + -216 Combine like terms: 216 + -216 = 0 0 + -1X2 = 0 + -216 -1X2 = 0 + -216 Combine like terms: 0 + -216 = -216 -1X2 = -216 Divide each side by '-1'. X2 = 216 Simplifying X2 = 216 Take the square root of each side: X = {-14.696938457, 14.696938457}

Solution

X = {0, -14.696938457, 14.696938457}

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