0=16t(5-t)

Solution for 0=16t(5-t) equation:

Simplifying
0 = 16t(5 + -1t)
0 = (5 * 16t + -1t * 16t)
0 = (80t + -16t2)

Solving
0 = 80t + -16t2

Solving for variable 't'.
Remove the zero:
-80t + 16t2 = 80t + -16t2 + -80t + 16t2

Reorder the terms:
-80t + 16t2 = 80t + -80t + -16t2 + 16t2

Combine like terms: 80t + -80t = 0
-80t + 16t2 = 0 + -16t2 + 16t2
-80t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-80t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-5 + 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 '(-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
Solution
t = {0, 5}