4t(50-t)=0

Solution for 4t(50-t)=0 equation:

Simplifying
4t(50 + -1t) = 0
(50 * 4t + -1t * 4t) = 0
(200t + -4t2) = 0

Solving
200t + -4t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t'.
4t(50 + -1t) = 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 '(50 + -1t)' equal to zero and attempt to solve:

Simplifying
50 + -1t = 0

Solving
50 + -1t = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1t = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1t = 0 + -50
-1t = 0 + -50

Combine like terms: 0 + -50 = -50
-1t = -50

Divide each side by '-1'.
t = 50

Simplifying
t = 50
Solution
t = {0, 50}