-16t^2+88t+240=0

Solution for -16t^2+88t+240=0 equation:

Simplifying
-16t2 + 88t + 240 = 0

Reorder the terms:
240 + 88t + -16t2 = 0

Solving
240 + 88t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(30 + 11t + -2t2) = 0

Factor a trinomial.
8((15 + -2t)(2 + t)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(15 + -2t)' equal to zero and attempt to solve:

Simplifying
15 + -2t = 0

Solving
15 + -2t = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2t = 0 + -15
-2t = 0 + -15

Combine like terms: 0 + -15 = -15
-2t = -15

Divide each side by '-2'.
t = 7.5

Simplifying
t = 7.5
Subproblem 2
Set the factor '(2 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

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

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

Simplifying
t = -2
Solution
t = {7.5, -2}