45=x^2-32

Solution for 45=x^2-32 equation:

Simplifying
45 = x2 + -32

Reorder the terms:
45 = -32 + x2

Solving
45 = -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.
45 + -1x2 = -32 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + -1x2 = -32 + 0
45 + -1x2 = -32

Add '-45' to each side of the equation.
45 + -45 + -1x2 = -32 + -45

Combine like terms: 45 + -45 = 0
0 + -1x2 = -32 + -45
-1x2 = -32 + -45

Combine like terms: -32 + -45 = -77
-1x2 = -77

Divide each side by '-1'.
x2 = 77

Simplifying
x2 = 77

Take the square root of each side:
x = {-8.774964387, 8.774964387}