x^2+8x=-32

Solution for x^2+8x=-32 equation:

Simplifying
x2 + 8x = -32

Reorder the terms:
8x + x2 = -32

Solving
8x + x2 = -32

Solving for variable 'x'.

Reorder the terms:
32 + 8x + x2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + 8x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + 8x + x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 8x + x2 = 0 + -32
8x + x2 = 0 + -32

Combine like terms: 0 + -32 = -32
8x + x2 = -32

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -32 + 16

Reorder the terms:
16 + 8x + x2 = -32 + 16

Combine like terms: -32 + 16 = -16
16 + 8x + x2 = -16

Factor a perfect square on the left side:
(x + 4)(x + 4) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.