t^2+22t+21=0

Solution for t^2+22t+21=0 equation:

Simplifying
t2 + 22t + 21 = 0

Reorder the terms:
21 + 22t + t2 = 0

Solving
21 + 22t + t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(21 + t)' equal to zero and attempt to solve:

Simplifying
21 + t = 0

Solving
21 + t = 0

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

Add '-21' to each side of the equation.
21 + -21 + t = 0 + -21

Combine like terms: 21 + -21 = 0
0 + t = 0 + -21
t = 0 + -21

Combine like terms: 0 + -21 = -21
t = -21

Simplifying
t = -21
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 = {-21, -1}