4x^2-3x=3x^2

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

Simplifying
4x2 + -3x = 3x2

Reorder the terms:
-3x + 4x2 = 3x2

Solving
-3x + 4x2 = 3x2

Solving for variable 'x'.

Combine like terms: 4x2 + -3x2 = 1x2
-3x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-3x + 1x2 = 0

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

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 '(-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 = 3
Solution
x = {0, 3}