x^3-6x^2-6=-6

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Solution for x^3-6x^2-6=-6 equation:


Simplifying
x3 + -6x2 + -6 = -6

Reorder the terms:
-6 + -6x2 + x3 = -6

Add '6' to each side of the equation.
-6 + -6x2 + 6 + x3 = -6 + 6

Reorder the terms:
-6 + 6 + -6x2 + x3 = -6 + 6

Combine like terms: -6 + 6 = 0
0 + -6x2 + x3 = -6 + 6
-6x2 + x3 = -6 + 6

Combine like terms: -6 + 6 = 0
-6x2 + x3 = 0

Solving
-6x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-6 + x) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Solution

x = {0, 6}

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