(d+9)(d+6)=-2

Solution for (d+9)(d+6)=-2 equation:

Simplifying
(d + 9)(d + 6) = -2

Reorder the terms:
(9 + d)(d + 6) = -2

Reorder the terms:
(9 + d)(6 + d) = -2

Multiply (9 + d) * (6 + d)
(9(6 + d) + d(6 + d)) = -2
((6 * 9 + d * 9) + d(6 + d)) = -2
((54 + 9d) + d(6 + d)) = -2
(54 + 9d + (6 * d + d * d)) = -2
(54 + 9d + (6d + d2)) = -2

Combine like terms: 9d + 6d = 15d
(54 + 15d + d2) = -2

Solving
54 + 15d + d2 = -2

Solving for variable 'd'.

Reorder the terms:
54 + 2 + 15d + d2 = -2 + 2

Combine like terms: 54 + 2 = 56
56 + 15d + d2 = -2 + 2

Combine like terms: -2 + 2 = 0
56 + 15d + d2 = 0

Factor a trinomial.
(8 + d)(7 + d) = 0

Subproblem 1
Set the factor '(8 + d)' equal to zero and attempt to solve:

Simplifying
8 + d = 0

Solving
8 + d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + d = 0 + -8
d = 0 + -8

Combine like terms: 0 + -8 = -8
d = -8

Simplifying
d = -8
Subproblem 2
Set the factor '(7 + d)' equal to zero and attempt to solve:

Simplifying
7 + d = 0

Solving
7 + d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + d = 0 + -7
d = 0 + -7

Combine like terms: 0 + -7 = -7
d = -7

Simplifying
d = -7
Solution
d = {-8, -7}