-16t^2+64t+36=0

Solution for -16t^2+64t+36=0 equation:

Simplifying
-16t2 + 64t + 36 = 0

Reorder the terms:
36 + 64t + -16t2 = 0

Solving
36 + 64t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + 16t + -4t2) = 0

Factor a trinomial.
4((9 + -2t)(1 + 2t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(9 + -2t)' equal to zero and attempt to solve:

Simplifying
9 + -2t = 0

Solving
9 + -2t = 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 + -2t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2t = 0 + -9
-2t = 0 + -9

Combine like terms: 0 + -9 = -9
-2t = -9

Divide each side by '-2'.
t = 4.5

Simplifying
t = 4.5
Subproblem 2
Set the factor '(1 + 2t)' equal to zero and attempt to solve:

Simplifying
1 + 2t = 0

Solving
1 + 2t = 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 + 2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2t = 0 + -1
2t = 0 + -1

Combine like terms: 0 + -1 = -1
2t = -1

Divide each side by '2'.
t = -0.5

Simplifying
t = -0.5
Solution
t = {4.5, -0.5}