25=-16t^2+36t+5

Solution for 25=-16t^2+36t+5 equation:

Simplifying
25 = -16t2 + 36t + 5

Reorder the terms:
25 = 5 + 36t + -16t2

Solving
25 = 5 + 36t + -16t2

Solving for variable 't'.

Combine like terms: 25 + -5 = 20
20 + -36t + 16t2 = 5 + 36t + -16t2 + -5 + -36t + 16t2

Reorder the terms:
20 + -36t + 16t2 = 5 + -5 + 36t + -36t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
20 + -36t + 16t2 = 0 + 36t + -36t + -16t2 + 16t2
20 + -36t + 16t2 = 36t + -36t + -16t2 + 16t2

Combine like terms: 36t + -36t = 0
20 + -36t + 16t2 = 0 + -16t2 + 16t2
20 + -36t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
20 + -36t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + -9t + 4t2) = 0

Factor a trinomial.
4((1 + -1t)(5 + -4t)) = 0

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

Simplifying
t = 1
Subproblem 2
Set the factor '(5 + -4t)' equal to zero and attempt to solve:

Simplifying
5 + -4t = 0

Solving
5 + -4t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4t = 0 + -5
-4t = 0 + -5

Combine like terms: 0 + -5 = -5
-4t = -5

Divide each side by '-4'.
t = 1.25

Simplifying
t = 1.25
Solution
t = {1, 1.25}