x^2+8x=-39.25

Solution for x^2+8x=-39.25 equation:

Simplifying
x2 + 8x = -39.25

Reorder the terms:
8x + x2 = -39.25

Solving
8x + x2 = -39.25

Solving for variable 'x'.

Reorder the terms:
39.25 + 8x + x2 = -39.25 + 39.25

Combine like terms: -39.25 + 39.25 = 0.00
39.25 + 8x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-39.25' to each side of the equation.
39.25 + 8x + -39.25 + x2 = 0.00 + -39.25

Reorder the terms:
39.25 + -39.25 + 8x + x2 = 0.00 + -39.25

Combine like terms: 39.25 + -39.25 = 0.00
0.00 + 8x + x2 = 0.00 + -39.25
8x + x2 = 0.00 + -39.25

Combine like terms: 0.00 + -39.25 = -39.25
8x + x2 = -39.25

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 = -39.25 + 16

Reorder the terms:
16 + 8x + x2 = -39.25 + 16

Combine like terms: -39.25 + 16 = -23.25
16 + 8x + x2 = -23.25

Factor a perfect square on the left side:
(x + 4)(x + 4) = -23.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.