4n^3-144n=0

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Solution for 4n^3-144n=0 equation:


Simplifying
4n3 + -144n = 0

Reorder the terms:
-144n + 4n3 = 0

Solving
-144n + 4n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n'.
4n(-36 + n2) = 0

Factor a difference between two squares.
4n((6 + n)(-6 + n)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

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

Subproblem 3

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

Solution

n = {0, -6, 6}

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