-15t^2+90t=0

Solution for -15t^2+90t=0 equation:

Simplifying
-15t2 + 90t = 0

Reorder the terms:
90t + -15t2 = 0

Solving
90t + -15t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '15t'.
15t(6 + -1t) = 0

Ignore the factor 15.
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 '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Solution
t = {0, 6}