2x^2+36=x^2+144

Solution for 2x^2+36=x^2+144 equation:

Simplifying
2x2 + 36 = x2 + 144

Reorder the terms:
36 + 2x2 = x2 + 144

Reorder the terms:
36 + 2x2 = 144 + x2

Solving
36 + 2x2 = 144 + 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.
36 + 2x2 + -1x2 = 144 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
36 + 1x2 = 144 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + 1x2 = 144 + 0
36 + 1x2 = 144

Add '-36' to each side of the equation.
36 + -36 + 1x2 = 144 + -36

Combine like terms: 36 + -36 = 0
0 + 1x2 = 144 + -36
1x2 = 144 + -36

Combine like terms: 144 + -36 = 108
1x2 = 108

Divide each side by '1'.
x2 = 108

Simplifying
x2 = 108

Take the square root of each side:
x = {-10.392304845, 10.392304845}