0=-16t^2+64t+960

Solution for 0=-16t^2+64t+960 equation:

Simplifying
0 = -16t2 + 64t + 960

Reorder the terms:
0 = 960 + 64t + -16t2

Solving
0 = 960 + 64t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -960 = -960
-960 + -64t + 16t2 = 960 + 64t + -16t2 + -960 + -64t + 16t2

Reorder the terms:
-960 + -64t + 16t2 = 960 + -960 + 64t + -64t + -16t2 + 16t2

Combine like terms: 960 + -960 = 0
-960 + -64t + 16t2 = 0 + 64t + -64t + -16t2 + 16t2
-960 + -64t + 16t2 = 64t + -64t + -16t2 + 16t2

Combine like terms: 64t + -64t = 0
-960 + -64t + 16t2 = 0 + -16t2 + 16t2
-960 + -64t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-960 + -64t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-60 + -4t + t2) = 0

Factor a trinomial.
16((-6 + -1t)(10 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-6 + -1t)' equal to zero and attempt to solve:

Simplifying
-6 + -1t = 0

Solving
-6 + -1t = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1t = 0 + 6
-1t = 0 + 6

Combine like terms: 0 + 6 = 6
-1t = 6

Divide each side by '-1'.
t = -6

Simplifying
t = -6
Subproblem 2
Set the factor '(10 + -1t)' equal to zero and attempt to solve:

Simplifying
10 + -1t = 0

Solving
10 + -1t = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1t = 0 + -10
-1t = 0 + -10

Combine like terms: 0 + -10 = -10
-1t = -10

Divide each side by '-1'.
t = 10

Simplifying
t = 10
Solution
t = {-6, 10}