# 4x^2=12x

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## Solution for 4x^2=12x equation:

Simplifying
4x2 = 12x

Solving
4x2 = 12x

Solving for variable 'x'.

Reorder the terms:
-12x + 4x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-12x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-3 + x) = 0

Ignore the factor 4.
Subproblem 1Set 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 2Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3Solutionx = {0, 3}`