-32t^2+320t-800=0

Solution for -32t^2+320t-800=0 equation:

Simplifying
-32t2 + 320t + -800 = 0

Reorder the terms:
-800 + 320t + -32t2 = 0

Solving
-800 + 320t + -32t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '32'.
32(-25 + 10t + -1t2) = 0

Factor a trinomial.
32((-5 + t)(5 + -1t)) = 0

Ignore the factor 32.
Subproblem 1
Set the factor '(-5 + t)' equal to zero and attempt to solve:

Simplifying
-5 + t = 0

Solving
-5 + t = 0

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

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

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

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

Simplifying
t = 5
Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {5, 5}