t^2+20t+19=

Solution for t^2+20t+19= equation:

Simplifying
t2 + 20t + 19 = 0

Reorder the terms:
19 + 20t + t2 = 0

Solving
19 + 20t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(19 + t)(1 + t) = 0

Subproblem 1
Set the factor '(19 + t)' equal to zero and attempt to solve:

Simplifying
19 + t = 0

Solving
19 + t = 0

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

Add '-19' to each side of the equation.
19 + -19 + t = 0 + -19

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

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

Simplifying
t = -19
Subproblem 2
Set the factor '(1 + t)' equal to zero and attempt to solve:

Simplifying
1 + t = 0

Solving
1 + t = 0

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

Add '-1' to each side of the equation.
1 + -1 + t = 0 + -1

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

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

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