t^2+23t+22=0

Solution for t^2+23t+22=0 equation:

Simplifying
t2 + 23t + 22 = 0

Reorder the terms:
22 + 23t + t2 = 0

Solving
22 + 23t + t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(22 + t)' equal to zero and attempt to solve:

Simplifying
22 + t = 0

Solving
22 + t = 0

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

Add '-22' to each side of the equation.
22 + -22 + t = 0 + -22

Combine like terms: 22 + -22 = 0
0 + t = 0 + -22
t = 0 + -22

Combine like terms: 0 + -22 = -22
t = -22

Simplifying
t = -22
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 = {-22, -1}