x^2+12-3x^2=-20

Solution for x^2+12-3x^2=-20 equation:

Simplifying
x2 + 12 + -3x2 = -20

Reorder the terms:
12 + x2 + -3x2 = -20

Combine like terms: x2 + -3x2 = -2x2
12 + -2x2 = -20

Solving
12 + -2x2 = -20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + -2x2 = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -2x2 = -20 + -12
-2x2 = -20 + -12

Combine like terms: -20 + -12 = -32
-2x2 = -32

Divide each side by '-2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}