(t-36)(t+49)=0

Solution for (t-36)(t+49)=0 equation:

Simplifying
(t + -36)(t + 49) = 0

Reorder the terms:
(-36 + t)(t + 49) = 0

Reorder the terms:
(-36 + t)(49 + t) = 0

Multiply (-36 + t) * (49 + t)
(-36(49 + t) + t(49 + t)) = 0
((49 * -36 + t * -36) + t(49 + t)) = 0
((-1764 + -36t) + t(49 + t)) = 0
(-1764 + -36t + (49 * t + t * t)) = 0
(-1764 + -36t + (49t + t2)) = 0

Combine like terms: -36t + 49t = 13t
(-1764 + 13t + t2) = 0

Solving
-1764 + 13t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-49 + -1t)(36 + -1t) = 0

Subproblem 1
Set the factor '(-49 + -1t)' equal to zero and attempt to solve:

Simplifying
-49 + -1t = 0

Solving
-49 + -1t = 0

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

Add '49' to each side of the equation.
-49 + 49 + -1t = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -1t = 0 + 49
-1t = 0 + 49

Combine like terms: 0 + 49 = 49
-1t = 49

Divide each side by '-1'.
t = -49

Simplifying
t = -49
Subproblem 2
Set the factor '(36 + -1t)' equal to zero and attempt to solve:

Simplifying
36 + -1t = 0

Solving
36 + -1t = 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 + -1t = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1t = 0 + -36
-1t = 0 + -36

Combine like terms: 0 + -36 = -36
-1t = -36

Divide each side by '-1'.
t = 36

Simplifying
t = 36
Solution
t = {-49, 36}