4x^3=120x^2

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Solution for 4x^3=120x^2 equation:


Simplifying
4x3 = 120x2

Solving
4x3 = 120x2

Solving for variable 'x'.

Reorder the terms:
-120x2 + 4x3 = 120x2 + -120x2

Combine like terms: 120x2 + -120x2 = 0
-120x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-30 + x) = 0

Ignore the factor 4.

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 '(-30 + x)' equal to zero and attempt to solve: Simplifying -30 + x = 0 Solving -30 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + x = 0 + 30 x = 0 + 30 Combine like terms: 0 + 30 = 30 x = 30 Simplifying x = 30

Solution

x = {0, 30}

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