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

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

Simplifying
2x2 + -12 = x2 + -6

Reorder the terms:
-12 + 2x2 = x2 + -6

Reorder the terms:
-12 + 2x2 = -6 + x2

Solving
-12 + 2x2 = -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 + 2x2 + -1x2 = -6 + x2 + -1x2

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

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

Add '12' to each side of the equation.
-12 + 12 + 1x2 = -6 + 12

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

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

Divide each side by '1'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}