(t+36)(t+25)=0

Solution for (t+36)(t+25)=0 equation:

Simplifying
(t + 36)(t + 25) = 0

Reorder the terms:
(36 + t)(t + 25) = 0

Reorder the terms:
(36 + t)(25 + t) = 0

Multiply (36 + t) * (25 + t)
(36(25 + t) + t(25 + t)) = 0
((25 * 36 + t * 36) + t(25 + t)) = 0
((900 + 36t) + t(25 + t)) = 0
(900 + 36t + (25 * t + t * t)) = 0
(900 + 36t + (25t + t2)) = 0

Combine like terms: 36t + 25t = 61t
(900 + 61t + t2) = 0

Solving
900 + 61t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(36 + t)(25 + t) = 0

Subproblem 1
Set the factor '(36 + t)' equal to zero and attempt to solve:

Simplifying
36 + t = 0

Solving
36 + t = 0

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

Add '-36' to each side of the equation.
36 + -36 + t = 0 + -36

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

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

Simplifying
t = -36
Subproblem 2
Set the factor '(25 + t)' equal to zero and attempt to solve:

Simplifying
25 + t = 0

Solving
25 + t = 0

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

Add '-25' to each side of the equation.
25 + -25 + t = 0 + -25

Combine like terms: 25 + -25 = 0
0 + t = 0 + -25
t = 0 + -25

Combine like terms: 0 + -25 = -25
t = -25

Simplifying
t = -25
Solution
t = {-36, -25}