x(x+8)=-20

Solution for x(x+8)=-20 equation:

Simplifying
x(x + 8) = -20

Reorder the terms:
x(8 + x) = -20
(8 * x + x * x) = -20
(8x + x2) = -20

Solving
8x + x2 = -20

Solving for variable 'x'.

Reorder the terms:
20 + 8x + x2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 8x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + 8x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 8x + x2 = 0 + -20
8x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
8x + x2 = -20

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 = -20 + 16

Reorder the terms:
16 + 8x + x2 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + 8x + x2 = -4

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.