2x^2-6=x^2+30

Solution for 2x^2-6=x^2+30 equation:

Simplifying
2x2 + -6 = x2 + 30

Reorder the terms:
-6 + 2x2 = x2 + 30

Reorder the terms:
-6 + 2x2 = 30 + x2

Solving
-6 + 2x2 = 30 + 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 = 30 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-6 + 1x2 = 30 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 1x2 = 30 + 0
-6 + 1x2 = 30

Add '6' to each side of the equation.
-6 + 6 + 1x2 = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 1x2 = 30 + 6
1x2 = 30 + 6

Combine like terms: 30 + 6 = 36
1x2 = 36

Divide each side by '1'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}