0=20t-4t^2

Solution for 0=20t-4t^2 equation:

Simplifying
0 = 20t + -4t2

Solving
0 = 20t + -4t2

Solving for variable 't'.
Remove the zero:
-20t + 4t2 = 20t + -4t2 + -20t + 4t2

Reorder the terms:
-20t + 4t2 = 20t + -20t + -4t2 + 4t2

Combine like terms: 20t + -20t = 0
-20t + 4t2 = 0 + -4t2 + 4t2
-20t + 4t2 = -4t2 + 4t2

Combine like terms: -4t2 + 4t2 = 0
-20t + 4t2 = 0

Factor out the Greatest Common Factor (GCF), '4t'.
4t(-5 + t) = 0

Ignore the factor 4.
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}