-16t^2+16t=80

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

Simplifying
-16t2 + 16t = 80

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

Solving
16t + -16t2 = 80

Solving for variable 't'.

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

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

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

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

Simplifying
-5 + t + -1t2 = 0

Solving
-5 + t + -1t2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
5 + -1t + t2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -1t + -5 + t2 = 0 + -5

Reorder the terms:
5 + -5 + -1t + t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t + t2 = 0 + -5
-1t + t2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1t + t2 = -5

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1t + 0.25 + t2 = -5 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -5 + 0.25

Combine like terms: -5 + 0.25 = -4.75
0.25 + -1t + t2 = -4.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -4.75

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.