-16t^2+55t+36=0

Solution for -16t^2+55t+36=0 equation:

Simplifying
-16t2 + 55t + 36 = 0

Reorder the terms:
36 + 55t + -16t2 = 0

Solving
36 + 55t + -16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(4 + -1t)(9 + 16t) = 0

Subproblem 1
Set the factor '(4 + -1t)' equal to zero and attempt to solve:

Simplifying
4 + -1t = 0

Solving
4 + -1t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = 0 + -4
-1t = 0 + -4

Combine like terms: 0 + -4 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4
Subproblem 2
Set the factor '(9 + 16t)' equal to zero and attempt to solve:

Simplifying
9 + 16t = 0

Solving
9 + 16t = 0

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

Add '-9' to each side of the equation.
9 + -9 + 16t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 16t = 0 + -9
16t = 0 + -9

Combine like terms: 0 + -9 = -9
16t = -9

Divide each side by '16'.
t = -0.5625

Simplifying
t = -0.5625
Solution
t = {4, -0.5625}