4t^3-20t^2=

Solution for 4t^3-20t^2= equation:

Simplifying
4t3 + -20t2 = 0

Reorder the terms:
-20t2 + 4t3 = 0

Solving
-20t2 + 4t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t2'.
4t2(-5 + t) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
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}