(-x^2)+1=0

Solution for (-x^2)+1=0 equation:

Simplifying
(-1x2) + 1 = 0

Reorder the terms:
1 + (-1x2) = 0

Solving
1 + (-1x2) = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + (-1x2) = 0 + -1

Combine like terms: 1 + -1 = 0
0 + (-1x2) = 0 + -1
(-1x2) = 0 + -1

Combine like terms: 0 + -1 = -1
(-1x2) = -1

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

Simplifying
x2 = 1

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