t^3=5t^2

Solution for t^3=5t^2 equation:

Simplifying
t3 = 5t2

Solving
t3 = 5t2

Solving for variable 't'.

Reorder the terms:
-5t2 + t3 = 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
-5t2 + t3 = 0

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

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}