-x^2+1=x^2-1

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

Simplifying
-1x2 + 1 = x2 + -1

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

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

Solving
1 + -1x2 = -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.
1 + -1x2 + -1x2 = -1 + x2 + -1x2

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

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

Add '-1' to each side of the equation.
1 + -1 + -2x2 = -1 + -1

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

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

Divide each side by '-2'.
x2 = 1

Simplifying
x2 = 1

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