d^2+20d+19=0

Solution for d^2+20d+19=0 equation:

Simplifying
d2 + 20d + 19 = 0

Reorder the terms:
19 + 20d + d2 = 0

Solving
19 + 20d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(19 + d)(1 + 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 '(1 + d)' equal to zero and attempt to solve:

Simplifying
1 + d = 0

Solving
1 + d = 0

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

Add '-1' to each side of the equation.
1 + -1 + d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + d = 0 + -1
d = 0 + -1

Combine like terms: 0 + -1 = -1
d = -1

Simplifying
d = -1
Solution
d = {-19, -1}