x^2+8x=-43

Solution for x^2+8x=-43 equation:

Simplifying
x2 + 8x = -43

Reorder the terms:
8x + x2 = -43

Solving
8x + x2 = -43

Solving for variable 'x'.

Reorder the terms:
43 + 8x + x2 = -43 + 43

Combine like terms: -43 + 43 = 0
43 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + 8x + -43 + x2 = 0 + -43

Reorder the terms:
43 + -43 + 8x + x2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 8x + x2 = 0 + -43
8x + x2 = 0 + -43

Combine like terms: 0 + -43 = -43
8x + x2 = -43

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 = -43 + 16

Reorder the terms:
16 + 8x + x2 = -43 + 16

Combine like terms: -43 + 16 = -27
16 + 8x + x2 = -27

Factor a perfect square on the left side:
(x + 4)(x + 4) = -27

Can't calculate square root of the right side.

The solution to this equation could not be determined.