80t-16t^2=64

Solution for 80t-16t^2=64 equation:

Simplifying
80t + -16t2 = 64

Solving
80t + -16t2 = 64

Solving for variable 't'.

Reorder the terms:
-64 + 80t + -16t2 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + 80t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-4 + 5t + -1t2) = 0

Factor a trinomial.
16((-4 + t)(1 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-4 + t)' equal to zero and attempt to solve:

Simplifying
-4 + t = 0

Solving
-4 + t = 0

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

Add '4' to each side of the equation.
-4 + 4 + t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + t = 0 + 4
t = 0 + 4

Combine like terms: 0 + 4 = 4
t = 4

Simplifying
t = 4
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

Simplifying
t = 1
Solution
t = {4, 1}