2x^2-64=x^2

Solution for 2x^2-64=x^2 equation:

Simplifying
2x2 + -64 = x2

Reorder the terms:
-64 + 2x2 = x2

Solving
-64 + 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.
-64 + 2x2 + -1x2 = x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-64 + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-64 + 1x2 = 0

Add '64' to each side of the equation.
-64 + 64 + 1x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 1x2 = 0 + 64
1x2 = 0 + 64

Combine like terms: 0 + 64 = 64
1x2 = 64

Divide each side by '1'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}