-x^2+0x+1=0

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

Simplifying
-1x2 + 0x + 1 = 0

Anything times zero is zero.
-1x2 + 0x + 1 = 0

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

Combine like terms: 0 + 1 = 1
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}