d^2+13d+22=0

Solution for d^2+13d+22=0 equation:

Simplifying
d2 + 13d + 22 = 0

Reorder the terms:
22 + 13d + d2 = 0

Solving
22 + 13d + d2 = 0

Solving for variable 'd'.

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

Subproblem 1
Set the factor '(11 + d)' equal to zero and attempt to solve:

Simplifying
11 + d = 0

Solving
11 + d = 0

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

Add '-11' to each side of the equation.
11 + -11 + d = 0 + -11

Combine like terms: 11 + -11 = 0
0 + d = 0 + -11
d = 0 + -11

Combine like terms: 0 + -11 = -11
d = -11

Simplifying
d = -11
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 = {-11, -2}