80=-16t^2+32t

Solution for 80=-16t^2+32t equation:

Simplifying
80 = -16t2 + 32t

Reorder the terms:
80 = 32t + -16t2

Solving
80 = 32t + -16t2

Solving for variable 't'.

Reorder the terms:
80 + -32t + 16t2 = 32t + -32t + -16t2 + 16t2

Combine like terms: 32t + -32t = 0
80 + -32t + 16t2 = 0 + -16t2 + 16t2
80 + -32t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
80 + -32t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(5 + -2t + t2) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(5 + -2t + t2)' equal to zero and attempt to solve:

Simplifying
5 + -2t + t2 = 0

Solving
5 + -2t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2t + -5 + t2 = 0 + -5

Reorder the terms:
5 + -5 + -2t + t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2t + t2 = 0 + -5
-2t + t2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2t + t2 = -5

The t term is -2t.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2t + 1 + t2 = -5 + 1

Reorder the terms:
1 + -2t + t2 = -5 + 1

Combine like terms: -5 + 1 = -4
1 + -2t + t2 = -4

Factor a perfect square on the left side:
(t + -1)(t + -1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.