-16t^2+128t=240

Solution for -16t^2+128t=240 equation:

Simplifying
-16t2 + 128t = 240

Reorder the terms:
128t + -16t2 = 240

Solving
128t + -16t2 = 240

Solving for variable 't'.

Reorder the terms:
-240 + 128t + -16t2 = 240 + -240

Combine like terms: 240 + -240 = 0
-240 + 128t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-15 + 8t + -1t2) = 0

Factor a trinomial.
16((-5 + t)(3 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-5 + t)' equal to zero and attempt to solve:

Simplifying
-5 + t = 0

Solving
-5 + t = 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 + t = 0 + 5

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

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

Simplifying
t = 5
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {5, 3}