d^2+13d+40=0

Solution for d^2+13d+40=0 equation:

Simplifying
d2 + 13d + 40 = 0

Reorder the terms:
40 + 13d + d2 = 0

Solving
40 + 13d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(8 + d)(5 + 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 '(5 + d)' equal to zero and attempt to solve:

Simplifying
5 + d = 0

Solving
5 + d = 0

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

Add '-5' to each side of the equation.
5 + -5 + d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + d = 0 + -5
d = 0 + -5

Combine like terms: 0 + -5 = -5
d = -5

Simplifying
d = -5
Solution
d = {-8, -5}