0=-10t^2+15t

Solution for 0=-10t^2+15t equation:

Simplifying
0 = -10t2 + 15t

Reorder the terms:
0 = 15t + -10t2

Solving
0 = 15t + -10t2

Solving for variable 't'.
Remove the zero:
-15t + 10t2 = 15t + -10t2 + -15t + 10t2

Reorder the terms:
-15t + 10t2 = 15t + -15t + -10t2 + 10t2

Combine like terms: 15t + -15t = 0
-15t + 10t2 = 0 + -10t2 + 10t2
-15t + 10t2 = -10t2 + 10t2

Combine like terms: -10t2 + 10t2 = 0
-15t + 10t2 = 0

Factor out the Greatest Common Factor (GCF), '5t'.
5t(-3 + 2t) = 0

Ignore the factor 5.
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 '(-3 + 2t)' equal to zero and attempt to solve:

Simplifying
-3 + 2t = 0

Solving
-3 + 2t = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2t = 0 + 3
2t = 0 + 3

Combine like terms: 0 + 3 = 3
2t = 3

Divide each side by '2'.
t = 1.5

Simplifying
t = 1.5
Solution
t = {0, 1.5}