15t^2-12t=0

Solution for 15t^2-12t=0 equation:

Simplifying
15t2 + -12t = 0

Reorder the terms:
-12t + 15t2 = 0

Solving
-12t + 15t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(-4 + 5t) = 0

Ignore the factor 3.
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 '(-4 + 5t)' equal to zero and attempt to solve:

Simplifying
-4 + 5t = 0

Solving
-4 + 5t = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5t = 0 + 4
5t = 0 + 4

Combine like terms: 0 + 4 = 4
5t = 4

Divide each side by '5'.
t = 0.8

Simplifying
t = 0.8
Solution
t = {0, 0.8}