12x^2=x^2+144

Solution for 12x^2=x^2+144 equation:

Simplifying
12x2 = x2 + 144

Reorder the terms:
12x2 = 144 + x2

Solving
12x2 = 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.
12x2 + -1x2 = 144 + x2 + -1x2

Combine like terms: 12x2 + -1x2 = 11x2
11x2 = 144 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11x2 = 144 + 0
11x2 = 144

Divide each side by '11'.
x2 = 13.09090909

Simplifying
x2 = 13.09090909

Take the square root of each side:
x = {-3.618136135, 3.618136135}