d^2+17d+72=0

Solution for d^2+17d+72=0 equation:

Simplifying
d2 + 17d + 72 = 0

Reorder the terms:
72 + 17d + d2 = 0

Solving
72 + 17d + d2 = 0

Solving for variable 'd'.

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

Subproblem 1
Set the factor '(9 + d)' equal to zero and attempt to solve:

Simplifying
9 + d = 0

Solving
9 + d = 0

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

Add '-9' to each side of the equation.
9 + -9 + d = 0 + -9

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

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

Simplifying
d = -9
Subproblem 2
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
Solution
d = {-9, -8}