d^2+21d+38=0

Solution for d^2+21d+38=0 equation:

Simplifying
d2 + 21d + 38 = 0

Reorder the terms:
38 + 21d + d2 = 0

Solving
38 + 21d + d2 = 0

Solving for variable 'd'.

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

Subproblem 1
Set the factor '(19 + d)' equal to zero and attempt to solve:

Simplifying
19 + d = 0

Solving
19 + d = 0

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

Add '-19' to each side of the equation.
19 + -19 + d = 0 + -19

Combine like terms: 19 + -19 = 0
0 + d = 0 + -19
d = 0 + -19

Combine like terms: 0 + -19 = -19
d = -19

Simplifying
d = -19
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 = {-19, -2}