t^2+38t+240=0

Solution for t^2+38t+240=0 equation:

Simplifying
t2 + 38t + 240 = 0

Reorder the terms:
240 + 38t + t2 = 0

Solving
240 + 38t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(30 + t)(8 + t) = 0

Subproblem 1
Set the factor '(30 + t)' equal to zero and attempt to solve:

Simplifying
30 + t = 0

Solving
30 + t = 0

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

Add '-30' to each side of the equation.
30 + -30 + t = 0 + -30

Combine like terms: 30 + -30 = 0
0 + t = 0 + -30
t = 0 + -30

Combine like terms: 0 + -30 = -30
t = -30

Simplifying
t = -30
Subproblem 2
Set the factor '(8 + t)' equal to zero and attempt to solve:

Simplifying
8 + t = 0

Solving
8 + t = 0

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

Add '-8' to each side of the equation.
8 + -8 + t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + t = 0 + -8
t = 0 + -8

Combine like terms: 0 + -8 = -8
t = -8

Simplifying
t = -8
Solution
t = {-30, -8}