0=43t-5t^2

Solution for 0=43t-5t^2 equation:

Simplifying
0 = 43t + -5t2

Solving
0 = 43t + -5t2

Solving for variable 't'.
Remove the zero:
-43t + 5t2 = 43t + -5t2 + -43t + 5t2

Reorder the terms:
-43t + 5t2 = 43t + -43t + -5t2 + 5t2

Combine like terms: 43t + -43t = 0
-43t + 5t2 = 0 + -5t2 + 5t2
-43t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-43t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-43 + 5t) = 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 '(-43 + 5t)' equal to zero and attempt to solve:

Simplifying
-43 + 5t = 0

Solving
-43 + 5t = 0

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

Add '43' to each side of the equation.
-43 + 43 + 5t = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 5t = 0 + 43
5t = 0 + 43

Combine like terms: 0 + 43 = 43
5t = 43

Divide each side by '5'.
t = 8.6

Simplifying
t = 8.6
Solution
t = {0, 8.6}