-3x^2-6=x^2-12

Solution for -3x^2-6=x^2-12 equation:

Simplifying
-3x2 + -6 = x2 + -12

Reorder the terms:
-6 + -3x2 = x2 + -12

Reorder the terms:
-6 + -3x2 = -12 + x2

Solving
-6 + -3x2 = -12 + 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.
-6 + -3x2 + -1x2 = -12 + x2 + -1x2

Combine like terms: -3x2 + -1x2 = -4x2
-6 + -4x2 = -12 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -4x2 = -12 + 0
-6 + -4x2 = -12

Add '6' to each side of the equation.
-6 + 6 + -4x2 = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -4x2 = -12 + 6
-4x2 = -12 + 6

Combine like terms: -12 + 6 = -6
-4x2 = -6

Divide each side by '-4'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}