9x^2-6=x^2+2

Solution for 9x^2-6=x^2+2 equation:

Simplifying
9x2 + -6 = x2 + 2

Reorder the terms:
-6 + 9x2 = x2 + 2

Reorder the terms:
-6 + 9x2 = 2 + x2

Solving
-6 + 9x2 = 2 + 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 + 9x2 + -1x2 = 2 + x2 + -1x2

Combine like terms: 9x2 + -1x2 = 8x2
-6 + 8x2 = 2 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 8x2 = 2 + 0
-6 + 8x2 = 2

Add '6' to each side of the equation.
-6 + 6 + 8x2 = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 8x2 = 2 + 6
8x2 = 2 + 6

Combine like terms: 2 + 6 = 8
8x2 = 8

Divide each side by '8'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}