3t^2+28t+60=0

Solution for 3t^2+28t+60=0 equation:

Simplifying
3t2 + 28t + 60 = 0

Reorder the terms:
60 + 28t + 3t2 = 0

Solving
60 + 28t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(6 + t)(10 + 3t) = 0

Subproblem 1
Set the factor '(6 + t)' equal to zero and attempt to solve:

Simplifying
6 + t = 0

Solving
6 + t = 0

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

Add '-6' to each side of the equation.
6 + -6 + t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + t = 0 + -6
t = 0 + -6

Combine like terms: 0 + -6 = -6
t = -6

Simplifying
t = -6
Subproblem 2
Set the factor '(10 + 3t)' equal to zero and attempt to solve:

Simplifying
10 + 3t = 0

Solving
10 + 3t = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3t = 0 + -10
3t = 0 + -10

Combine like terms: 0 + -10 = -10
3t = -10

Divide each side by '3'.
t = -3.333333333

Simplifying
t = -3.333333333
Solution
t = {-6, -3.333333333}