2(x^2-3)=x^2

Solution for 2(x^2-3)=x^2 equation:

Simplifying
2(x2 + -3) = x2

Reorder the terms:
2(-3 + x2) = x2
(-3 * 2 + x2 * 2) = x2
(-6 + 2x2) = x2

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 1x2 = 0 + 6

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

Combine like terms: 0 + 6 = 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}