x(x+6)=-89

Solution for x(x+6)=-89 equation:

Simplifying
x(x + 6) = -89

Reorder the terms:
x(6 + x) = -89
(6 * x + x * x) = -89
(6x + x2) = -89

Solving
6x + x2 = -89

Solving for variable 'x'.

Reorder the terms:
89 + 6x + x2 = -89 + 89

Combine like terms: -89 + 89 = 0
89 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-89' to each side of the equation.
89 + 6x + -89 + x2 = 0 + -89

Reorder the terms:
89 + -89 + 6x + x2 = 0 + -89

Combine like terms: 89 + -89 = 0
0 + 6x + x2 = 0 + -89
6x + x2 = 0 + -89

Combine like terms: 0 + -89 = -89
6x + x2 = -89

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -89 + 9

Reorder the terms:
9 + 6x + x2 = -89 + 9

Combine like terms: -89 + 9 = -80
9 + 6x + x2 = -80

Factor a perfect square on the left side:
(x + 3)(x + 3) = -80

Can't calculate square root of the right side.

The solution to this equation could not be determined.