-16(t^2-8t-240)=0

Solution for -16(t^2-8t-240)=0 equation:

Simplifying
-16(t2 + -8t + -240) = 0

Reorder the terms:
-16(-240 + -8t + t2) = 0
(-240 * -16 + -8t * -16 + t2 * -16) = 0
(3840 + 128t + -16t2) = 0

Solving
3840 + 128t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(240 + 8t + -1t2) = 0

Factor a trinomial.
16((20 + -1t)(12 + t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(20 + -1t)' equal to zero and attempt to solve:

Simplifying
20 + -1t = 0

Solving
20 + -1t = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1t = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1t = 0 + -20
-1t = 0 + -20

Combine like terms: 0 + -20 = -20
-1t = -20

Divide each side by '-1'.
t = 20

Simplifying
t = 20
Subproblem 2
Set the factor '(12 + t)' equal to zero and attempt to solve:

Simplifying
12 + t = 0

Solving
12 + t = 0

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

Add '-12' to each side of the equation.
12 + -12 + t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + t = 0 + -12
t = 0 + -12

Combine like terms: 0 + -12 = -12
t = -12

Simplifying
t = -12
Solution
t = {20, -12}