0=-16t(t-64)

Solution for 0=-16t(t-64) equation:

Simplifying
0 = -16t(t + -64)

Reorder the terms:
0 = -16t(-64 + t)
0 = (-64 * -16t + t * -16t)
0 = (1024t + -16t2)

Solving
0 = 1024t + -16t2

Solving for variable 't'.
Remove the zero:
-1024t + 16t2 = 1024t + -16t2 + -1024t + 16t2

Reorder the terms:
-1024t + 16t2 = 1024t + -1024t + -16t2 + 16t2

Combine like terms: 1024t + -1024t = 0
-1024t + 16t2 = 0 + -16t2 + 16t2
-1024t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-1024t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-64 + t) = 0

Ignore the factor 16.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(-64 + t)' equal to zero and attempt to solve:

Simplifying
-64 + t = 0

Solving
-64 + t = 0

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

Add '64' to each side of the equation.
-64 + 64 + t = 0 + 64

Combine like terms: -64 + 64 = 0
0 + t = 0 + 64
t = 0 + 64

Combine like terms: 0 + 64 = 64
t = 64

Simplifying
t = 64
Solution
t = {0, 64}