9x^2-8=x^2

Solution for 9x^2-8=x^2 equation:

Simplifying
9x2 + -8 = x2

Reorder the terms:
-8 + 9x2 = x2

Solving
-8 + 9x2 = 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.
-8 + 9x2 + -1x2 = x2 + -1x2

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

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

Add '8' to each side of the equation.
-8 + 8 + 8x2 = 0 + 8

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

Combine like terms: 0 + 8 = 8
8x2 = 8

Divide each side by '8'.
x2 = 1

Simplifying
x2 = 1

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