X^3-X^2-90X=0

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Solution for X^3-X^2-90X=0 equation:


Simplifying
X3 + -1X2 + -90X = 0

Reorder the terms:
-90X + -1X2 + X3 = 0

Solving
-90X + -1X2 + X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-90 + -1X + X2) = 0

Factor a trinomial.
X((-9 + -1X)(10 + -1X)) = 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 '(-9 + -1X)' equal to zero and attempt to solve: Simplifying -9 + -1X = 0 Solving -9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1X = 0 + 9 -1X = 0 + 9 Combine like terms: 0 + 9 = 9 -1X = 9 Divide each side by '-1'. X = -9 Simplifying X = -9

Subproblem 3

Set the factor '(10 + -1X)' equal to zero and attempt to solve: Simplifying 10 + -1X = 0 Solving 10 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1X = 0 + -10 -1X = 0 + -10 Combine like terms: 0 + -10 = -10 -1X = -10 Divide each side by '-1'. X = 10 Simplifying X = 10

Solution

X = {0, -9, 10}

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