4x^2=120x

Solution for 4x^2=120x equation:

Simplifying
4x2 = 120x

Solving
4x2 = 120x

Solving for variable 'x'.

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

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

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

Ignore the factor 4.
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 '(-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}