t^2+23t+42=

Solution for t^2+23t+42= equation:

Simplifying
t2 + 23t + 42 = 0

Reorder the terms:
42 + 23t + t2 = 0

Solving
42 + 23t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(21 + t)(2 + 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 '(2 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t = 0 + -2
t = 0 + -2

Combine like terms: 0 + -2 = -2
t = -2

Simplifying
t = -2
Solution
t = {-21, -2}