6x^2-4=2x^2

Solution for 6x^2-4=2x^2 equation:

Simplifying
6x2 + -4 = 2x2

Reorder the terms:
-4 + 6x2 = 2x2

Solving
-4 + 6x2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-4 + 6x2 + -2x2 = 2x2 + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
-4 + 4x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-4 + 4x2 = 0

Add '4' to each side of the equation.
-4 + 4 + 4x2 = 0 + 4

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

Combine like terms: 0 + 4 = 4
4x2 = 4

Divide each side by '4'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}