-16t^2+32t=20

Solution for -16t^2+32t=20 equation:

Simplifying
-16t2 + 32t = 20

Reorder the terms:
32t + -16t2 = 20

Solving
32t + -16t2 = 20

Solving for variable 't'.

Reorder the terms:
-20 + 32t + -16t2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 32t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 8t + -4t2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + 8t + -4t2)' equal to zero and attempt to solve:

Simplifying
-5 + 8t + -4t2 = 0

Solving
-5 + 8t + -4t2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.25 + -2t + t2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -2t + -1.25 + t2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -2t + t2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -2t + t2 = 0 + -1.25
-2t + t2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-2t + t2 = -1.25

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 = -1.25 + 1

Reorder the terms:
1 + -2t + t2 = -1.25 + 1

Combine like terms: -1.25 + 1 = -0.25
1 + -2t + t2 = -0.25

Factor a perfect square on the left side:
(t + -1)(t + -1) = -0.25

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.