9-7x^2=x^2+1

Solution for 9-7x^2=x^2+1 equation:

Simplifying
9 + -7x2 = x2 + 1

Reorder the terms:
9 + -7x2 = 1 + x2

Solving
9 + -7x2 = 1 + 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.
9 + -7x2 + -1x2 = 1 + x2 + -1x2

Combine like terms: -7x2 + -1x2 = -8x2
9 + -8x2 = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -8x2 = 1 + 0
9 + -8x2 = 1

Add '-9' to each side of the equation.
9 + -9 + -8x2 = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -8x2 = 1 + -9
-8x2 = 1 + -9

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

Divide each side by '-8'.
x2 = 1

Simplifying
x2 = 1

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