-5t^2+24t+36=0

Solution for -5t^2+24t+36=0 equation:

Simplifying
-5t2 + 24t + 36 = 0

Reorder the terms:
36 + 24t + -5t2 = 0

Solving
36 + 24t + -5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(6 + -1t)(6 + 5t) = 0

Subproblem 1
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 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 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Subproblem 2
Set the factor '(6 + 5t)' equal to zero and attempt to solve:

Simplifying
6 + 5t = 0

Solving
6 + 5t = 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 + 5t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5t = 0 + -6
5t = 0 + -6

Combine like terms: 0 + -6 = -6
5t = -6

Divide each side by '5'.
t = -1.2

Simplifying
t = -1.2
Solution
t = {6, -1.2}