t^2+15t=-36

Solution for t^2+15t=-36 equation:

Simplifying
t2 + 15t = -36

Reorder the terms:
15t + t2 = -36

Solving
15t + t2 = -36

Solving for variable 't'.

Reorder the terms:
36 + 15t + t2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + 15t + t2 = 0

Factor a trinomial.
(12 + t)(3 + t) = 0

Subproblem 1
Set the factor '(12 + t)' equal to zero and attempt to solve:

Simplifying
12 + t = 0

Solving
12 + t = 0

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

Add '-12' to each side of the equation.
12 + -12 + t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + t = 0 + -12
t = 0 + -12

Combine like terms: 0 + -12 = -12
t = -12

Simplifying
t = -12
Subproblem 2
Set the factor '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 0

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

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

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

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

Simplifying
t = -3
Solution
t = {-12, -3}