t^2+16t+15=0

Solution for t^2+16t+15=0 equation:

Simplifying
t2 + 16t + 15 = 0

Reorder the terms:
15 + 16t + t2 = 0

Solving
15 + 16t + t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(15 + t)' equal to zero and attempt to solve:

Simplifying
15 + t = 0

Solving
15 + t = 0

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

Add '-15' to each side of the equation.
15 + -15 + t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + t = 0 + -15
t = 0 + -15

Combine like terms: 0 + -15 = -15
t = -15

Simplifying
t = -15
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 = {-15, -1}