-16(t^2-5t)=0

Solution for -16(t^2-5t)=0 equation:

Simplifying
-16(t2 + -5t) = 0

Reorder the terms:
-16(-5t + t2) = 0
(-5t * -16 + t2 * -16) = 0
(80t + -16t2) = 0

Solving
80t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16t'.
16t(5 + -1t) = 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 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 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 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {0, 5}