-16t^2+26t+360=0

Solution for -16t^2+26t+360=0 equation:

Simplifying
-16t2 + 26t + 360 = 0

Reorder the terms:
360 + 26t + -16t2 = 0

Solving
360 + 26t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(180 + 13t + -8t2) = 0

Factor a trinomial.
2((45 + -8t)(4 + t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(45 + -8t)' equal to zero and attempt to solve:

Simplifying
45 + -8t = 0

Solving
45 + -8t = 0

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

Add '-45' to each side of the equation.
45 + -45 + -8t = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -8t = 0 + -45
-8t = 0 + -45

Combine like terms: 0 + -45 = -45
-8t = -45

Divide each side by '-8'.
t = 5.625

Simplifying
t = 5.625
Subproblem 2
Set the factor '(4 + t)' equal to zero and attempt to solve:

Simplifying
4 + t = 0

Solving
4 + t = 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 + t = 0 + -4

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

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

Simplifying
t = -4
Solution
t = {5.625, -4}