12-x^2=x^2-6

Solution for 12-x^2=x^2-6 equation:

Simplifying
12 + -1x2 = x2 + -6

Reorder the terms:
12 + -1x2 = -6 + x2

Solving
12 + -1x2 = -6 + 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.
12 + -1x2 + -1x2 = -6 + x2 + -1x2

Combine like terms: -1x2 + -1x2 = -2x2
12 + -2x2 = -6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + -2x2 = -6 + 0
12 + -2x2 = -6

Add '-12' to each side of the equation.
12 + -12 + -2x2 = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -2x2 = -6 + -12
-2x2 = -6 + -12

Combine like terms: -6 + -12 = -18
-2x2 = -18

Divide each side by '-2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}