x^2=x-32

Solution for x^2=x-32 equation:

Simplifying
x2 = x + -32

Reorder the terms:
x2 = -32 + x

Solving
x2 = -32 + x

Solving for variable 'x'.

Reorder the terms:
32 + -1x + x2 = -32 + x + 32 + -1x

Reorder the terms:
32 + -1x + x2 = -32 + 32 + x + -1x

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

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

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -1x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + -1x + x2 = 0 + -32

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

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

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -32 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -32 + 0.25

Combine like terms: -32 + 0.25 = -31.75
0.25 + -1x + x2 = -31.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -31.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.