d^2+12d+32=0

Solution for d^2+12d+32=0 equation:

Simplifying
d2 + 12d + 32 = 0

Reorder the terms:
32 + 12d + d2 = 0

Solving
32 + 12d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(8 + d)(4 + 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 '(4 + d)' equal to zero and attempt to solve:

Simplifying
4 + d = 0

Solving
4 + d = 0

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

Add '-4' to each side of the equation.
4 + -4 + d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + d = 0 + -4
d = 0 + -4

Combine like terms: 0 + -4 = -4
d = -4

Simplifying
d = -4
Solution
d = {-8, -4}