(x^3)(3x^2)-144x=0

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Solution for (x^3)(3x^2)-144x=0 equation:


Simplifying
(x3)(3x2) + -144x = 0

Remove parenthesis around (3x2)
x3 * 3x2 + -144x = 0

Reorder the terms for easier multiplication:
3x3 * x2 + -144x = 0

Multiply x3 * x2
3x5 + -144x = 0

Reorder the terms:
-144x + 3x5 = 0

Solving
-144x + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-48 + x4) = 0

Ignore the factor 3.

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 '(-48 + x4)' equal to zero and attempt to solve: Simplifying -48 + x4 = 0 Solving -48 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + x4 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + x4 = 0 + 48 x4 = 0 + 48 Combine like terms: 0 + 48 = 48 x4 = 48 Simplifying x4 = 48 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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