0=-t^2+6t

Solution for 0=-t^2+6t equation:

Simplifying
0 = -1t2 + 6t

Reorder the terms:
0 = 6t + -1t2

Solving
0 = 6t + -1t2

Solving for variable 't'.
Remove the zero:
-6t + t2 = 6t + -1t2 + -6t + t2

Reorder the terms:
-6t + t2 = 6t + -6t + -1t2 + t2

Combine like terms: 6t + -6t = 0
-6t + t2 = 0 + -1t2 + t2
-6t + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
-6t + t2 = 0

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