2x^2-48=x^2

Solution for 2x^2-48=x^2 equation:

Simplifying
2x2 + -48 = x2

Reorder the terms:
-48 + 2x2 = x2

Solving
-48 + 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.
-48 + 2x2 + -1x2 = x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-48 + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-48 + 1x2 = 0

Add '48' to each side of the equation.
-48 + 48 + 1x2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 1x2 = 0 + 48
1x2 = 0 + 48

Combine like terms: 0 + 48 = 48
1x2 = 48

Divide each side by '1'.
x2 = 48

Simplifying
x2 = 48

Take the square root of each side:
x = {-6.92820323, 6.92820323}