x^2+144=2(x^2)

Solution for x^2+144=2(x^2) equation:

Simplifying
x2 + 144 = 2(x2)

Reorder the terms:
144 + x2 = 2(x2)

Solving
144 + x2 = 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.
144 + x2 + -2x2 = 2x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
144 + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
144 + -1x2 = 0

Add '-144' to each side of the equation.
144 + -144 + -1x2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -1x2 = 0 + -144
-1x2 = 0 + -144

Combine like terms: 0 + -144 = -144
-1x2 = -144

Divide each side by '-1'.
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}