T^2+16T+60=0

Solution for T^2+16T+60=0 equation:

Simplifying
T2 + 16T + 60 = 0

Reorder the terms:
60 + 16T + T2 = 0

Solving
60 + 16T + T2 = 0

Solving for variable 'T'.

Factor a trinomial.
(10 + T)(6 + T) = 0

Subproblem 1
Set the factor '(10 + T)' equal to zero and attempt to solve:

Simplifying
10 + T = 0

Solving
10 + T = 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 + T = 0 + -10

Combine like terms: 10 + -10 = 0
0 + T = 0 + -10
T = 0 + -10

Combine like terms: 0 + -10 = -10
T = -10

Simplifying
T = -10
Subproblem 2
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
Solution
T = {-10, -6}