17=x^2-32

Solution for 17=x^2-32 equation:

Simplifying
17 = x2 + -32

Reorder the terms:
17 = -32 + x2

Solving
17 = -32 + 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.
17 + -1x2 = -32 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
17 + -1x2 = -32 + 0
17 + -1x2 = -32

Add '-17' to each side of the equation.
17 + -17 + -1x2 = -32 + -17

Combine like terms: 17 + -17 = 0
0 + -1x2 = -32 + -17
-1x2 = -32 + -17

Combine like terms: -32 + -17 = -49
-1x2 = -49

Divide each side by '-1'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}