d^2+6d=-9

Solution for d^2+6d=-9 equation:

Simplifying
d2 + 6d = -9

Reorder the terms:
6d + d2 = -9

Solving
6d + d2 = -9

Solving for variable 'd'.

Reorder the terms:
9 + 6d + d2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 6d + d2 = 0

Factor a trinomial.
(3 + d)(3 + d) = 0

Subproblem 1
Set the factor '(3 + d)' equal to zero and attempt to solve:

Simplifying
3 + d = 0

Solving
3 + d = 0

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

Add '-3' to each side of the equation.
3 + -3 + d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + d = 0 + -3
d = 0 + -3

Combine like terms: 0 + -3 = -3
d = -3

Simplifying
d = -3
Subproblem 2
Set the factor '(3 + d)' equal to zero and attempt to solve:

Simplifying
3 + d = 0

Solving
3 + d = 0

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

Add '-3' to each side of the equation.
3 + -3 + d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + d = 0 + -3
d = 0 + -3

Combine like terms: 0 + -3 = -3
d = -3

Simplifying
d = -3
Solution
d = {-3, -3}