-x^2+31-6=0

Solution for -x^2+31-6=0 equation:

Simplifying
-1x2 + 31 + -6 = 0

Reorder the terms:
31 + -6 + -1x2 = 0

Combine like terms: 31 + -6 = 25
25 + -1x2 = 0

Solving
25 + -1x2 = 0

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + -1x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x2 = 0 + -25
-1x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1x2 = -25

Divide each side by '-1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}