=x^3-8x^2

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Solution for =x^3-8x^2 equation:


Simplifying
0 = x3 + -8x2

Reorder the terms:
0 = -8x2 + x3

Solving
0 = -8x2 + x3

Solving for variable 'x'.
Remove the zero:
8x2 + -1x3 = -8x2 + x3 + 8x2 + -1x3

Reorder the terms:
8x2 + -1x3 = -8x2 + 8x2 + x3 + -1x3

Combine like terms: -8x2 + 8x2 = 0
8x2 + -1x3 = 0 + x3 + -1x3
8x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
8x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {0, 8}

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