0=60t-5t^2

Solution for 0=60t-5t^2 equation:

Simplifying
0 = 60t + -5t2

Solving
0 = 60t + -5t2

Solving for variable 't'.
Remove the zero:
-60t + 5t2 = 60t + -5t2 + -60t + 5t2

Reorder the terms:
-60t + 5t2 = 60t + -60t + -5t2 + 5t2

Combine like terms: 60t + -60t = 0
-60t + 5t2 = 0 + -5t2 + 5t2
-60t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-60t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), '5t'.
5t(-12 + 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 '(-12 + t)' equal to zero and attempt to solve:

Simplifying
-12 + t = 0

Solving
-12 + t = 0

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

Add '12' to each side of the equation.
-12 + 12 + t = 0 + 12

Combine like terms: -12 + 12 = 0
0 + t = 0 + 12
t = 0 + 12

Combine like terms: 0 + 12 = 12
t = 12

Simplifying
t = 12
Solution
t = {0, 12}