81=-16t^2+80t-3

Solution for 81=-16t^2+80t-3 equation:

Simplifying
81 = -16t2 + 80t + -3

Reorder the terms:
81 = -3 + 80t + -16t2

Solving
81 = -3 + 80t + -16t2

Solving for variable 't'.

Combine like terms: 81 + 3 = 84
84 + -80t + 16t2 = -3 + 80t + -16t2 + 3 + -80t + 16t2

Reorder the terms:
84 + -80t + 16t2 = -3 + 3 + 80t + -80t + -16t2 + 16t2

Combine like terms: -3 + 3 = 0
84 + -80t + 16t2 = 0 + 80t + -80t + -16t2 + 16t2
84 + -80t + 16t2 = 80t + -80t + -16t2 + 16t2

Combine like terms: 80t + -80t = 0
84 + -80t + 16t2 = 0 + -16t2 + 16t2
84 + -80t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
84 + -80t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(21 + -20t + 4t2) = 0

Factor a trinomial.
4((3 + -2t)(7 + -2t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -2t)' equal to zero and attempt to solve:

Simplifying
3 + -2t = 0

Solving
3 + -2t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5
Subproblem 2
Set the factor '(7 + -2t)' equal to zero and attempt to solve:

Simplifying
7 + -2t = 0

Solving
7 + -2t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2t = 0 + -7
-2t = 0 + -7

Combine like terms: 0 + -7 = -7
-2t = -7

Divide each side by '-2'.
t = 3.5

Simplifying
t = 3.5
Solution
t = {1.5, 3.5}