0=-16t^2+400t

Solution for 0=-16t^2+400t equation:

Simplifying
0 = -16t2 + 400t

Reorder the terms:
0 = 400t + -16t2

Solving
0 = 400t + -16t2

Solving for variable 't'.
Remove the zero:
-400t + 16t2 = 400t + -16t2 + -400t + 16t2

Reorder the terms:
-400t + 16t2 = 400t + -400t + -16t2 + 16t2

Combine like terms: 400t + -400t = 0
-400t + 16t2 = 0 + -16t2 + 16t2
-400t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-400t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-25 + 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 '(-25 + t)' equal to zero and attempt to solve:

Simplifying
-25 + t = 0

Solving
-25 + t = 0

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

Add '25' to each side of the equation.
-25 + 25 + t = 0 + 25

Combine like terms: -25 + 25 = 0
0 + t = 0 + 25
t = 0 + 25

Combine like terms: 0 + 25 = 25
t = 25

Simplifying
t = 25
Solution
t = {0, 25}