x^2+16=x-32

Solution for x^2+16=x-32 equation:

Simplifying
x2 + 16 = x + -32

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

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

Solving
16 + x2 = -32 + x

Solving for variable 'x'.

Reorder the terms:
16 + 32 + -1x + x2 = -32 + x + 32 + -1x

Combine like terms: 16 + 32 = 48
48 + -1x + x2 = -32 + x + 32 + -1x

Reorder the terms:
48 + -1x + x2 = -32 + 32 + x + -1x

Combine like terms: -32 + 32 = 0
48 + -1x + x2 = 0 + x + -1x
48 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
48 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + -1x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + -1x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x + x2 = 0 + -48
-1x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
-1x + x2 = -48

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 = -48 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -48 + 0.25

Combine like terms: -48 + 0.25 = -47.75
0.25 + -1x + x2 = -47.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -47.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.