0=30t-5t^2

Solution for 0=30t-5t^2 equation:

Simplifying
0 = 30t + -5t2

Solving
0 = 30t + -5t2

Solving for variable 't'.
Remove the zero:
-30t + 5t2 = 30t + -5t2 + -30t + 5t2

Reorder the terms:
-30t + 5t2 = 30t + -30t + -5t2 + 5t2

Combine like terms: 30t + -30t = 0
-30t + 5t2 = 0 + -5t2 + 5t2
-30t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-30t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), '5t'.
5t(-6 + t) = 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 '(-6 + t)' equal to zero and attempt to solve:

Simplifying
-6 + t = 0

Solving
-6 + t = 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 + t = 0 + 6

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

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

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