0=2t-t^2

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

Simplifying
0 = 2t + -1t2

Solving
0 = 2t + -1t2

Solving for variable 't'.
Remove the zero:
-2t + t2 = 2t + -1t2 + -2t + t2

Reorder the terms:
-2t + t2 = 2t + -2t + -1t2 + t2

Combine like terms: 2t + -2t = 0
-2t + t2 = 0 + -1t2 + t2
-2t + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
-2t + t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-2 + 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 '(-2 + t)' equal to zero and attempt to solve:

Simplifying
-2 + t = 0

Solving
-2 + t = 0

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

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

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

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

Simplifying
t = 2
Solution
t = {0, 2}