d^2+13d+30=0

Solution for d^2+13d+30=0 equation:

Simplifying
d2 + 13d + 30 = 0

Reorder the terms:
30 + 13d + d2 = 0

Solving
30 + 13d + d2 = 0

Solving for variable 'd'.

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

Subproblem 1
Set the factor '(10 + d)' equal to zero and attempt to solve:

Simplifying
10 + d = 0

Solving
10 + d = 0

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

Add '-10' to each side of the equation.
10 + -10 + d = 0 + -10

Combine like terms: 10 + -10 = 0
0 + d = 0 + -10
d = 0 + -10

Combine like terms: 0 + -10 = -10
d = -10

Simplifying
d = -10
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 = {-10, -3}