d^2+17d+30=0

Solution for d^2+17d+30=0 equation:

Simplifying
d2 + 17d + 30 = 0

Reorder the terms:
30 + 17d + d2 = 0

Solving
30 + 17d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(15 + d)(2 + d) = 0

Subproblem 1
Set the factor '(15 + d)' equal to zero and attempt to solve:

Simplifying
15 + d = 0

Solving
15 + d = 0

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

Add '-15' to each side of the equation.
15 + -15 + d = 0 + -15

Combine like terms: 15 + -15 = 0
0 + d = 0 + -15
d = 0 + -15

Combine like terms: 0 + -15 = -15
d = -15

Simplifying
d = -15
Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve:

Simplifying
2 + d = 0

Solving
2 + d = 0

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

Add '-2' to each side of the equation.
2 + -2 + d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + d = 0 + -2
d = 0 + -2

Combine like terms: 0 + -2 = -2
d = -2

Simplifying
d = -2
Solution
d = {-15, -2}