-2t^2+15t=0

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

Simplifying
-2t2 + 15t = 0

Reorder the terms:
15t + -2t2 = 0

Solving
15t + -2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(15 + -2t) = 0

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 '(15 + -2t)' equal to zero and attempt to solve:

Simplifying
15 + -2t = 0

Solving
15 + -2t = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2t = 0 + -15
-2t = 0 + -15

Combine like terms: 0 + -15 = -15
-2t = -15

Divide each side by '-2'.
t = 7.5

Simplifying
t = 7.5
Solution
t = {0, 7.5}