2x^2-4=x^2

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

Simplifying
2x2 + -4 = x2

Reorder the terms:
-4 + 2x2 = x2

Solving
-4 + 2x2 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-4 + 2x2 + -1x2 = x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-4 + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + 1x2 = 0

Add '4' to each side of the equation.
-4 + 4 + 1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1x2 = 0 + 4
1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
1x2 = 4

Divide each side by '1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}