x(x+8)=-105

Solution for x(x+8)=-105 equation:

Simplifying
x(x + 8) = -105

Reorder the terms:
x(8 + x) = -105
(8 * x + x * x) = -105
(8x + x2) = -105

Solving
8x + x2 = -105

Solving for variable 'x'.

Reorder the terms:
105 + 8x + x2 = -105 + 105

Combine like terms: -105 + 105 = 0
105 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-105' to each side of the equation.
105 + 8x + -105 + x2 = 0 + -105

Reorder the terms:
105 + -105 + 8x + x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + 8x + x2 = 0 + -105
8x + x2 = 0 + -105

Combine like terms: 0 + -105 = -105
8x + x2 = -105

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 = -105 + 16

Reorder the terms:
16 + 8x + x2 = -105 + 16

Combine like terms: -105 + 16 = -89
16 + 8x + x2 = -89

Factor a perfect square on the left side:
(x + 4)(x + 4) = -89

Can't calculate square root of the right side.

The solution to this equation could not be determined.