0=560t-16t^2

Solution for 0=560t-16t^2 equation:

Simplifying
0 = 560t + -16t2

Solving
0 = 560t + -16t2

Solving for variable 't'.
Remove the zero:
-560t + 16t2 = 560t + -16t2 + -560t + 16t2

Reorder the terms:
-560t + 16t2 = 560t + -560t + -16t2 + 16t2

Combine like terms: 560t + -560t = 0
-560t + 16t2 = 0 + -16t2 + 16t2
-560t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-560t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-35 + t) = 0

Ignore the factor 16.
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 '(-35 + t)' equal to zero and attempt to solve:

Simplifying
-35 + t = 0

Solving
-35 + t = 0

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

Add '35' to each side of the equation.
-35 + 35 + t = 0 + 35

Combine like terms: -35 + 35 = 0
0 + t = 0 + 35
t = 0 + 35

Combine like terms: 0 + 35 = 35
t = 35

Simplifying
t = 35
Solution
t = {0, 35}