20=-16t^2+32t+3

Solution for 20=-16t^2+32t+3 equation:

Simplifying
20 = -16t2 + 32t + 3

Reorder the terms:
20 = 3 + 32t + -16t2

Solving
20 = 3 + 32t + -16t2

Solving for variable 't'.

Combine like terms: 20 + -3 = 17
17 + -32t + 16t2 = 3 + 32t + -16t2 + -3 + -32t + 16t2

Reorder the terms:
17 + -32t + 16t2 = 3 + -3 + 32t + -32t + -16t2 + 16t2

Combine like terms: 3 + -3 = 0
17 + -32t + 16t2 = 0 + 32t + -32t + -16t2 + 16t2
17 + -32t + 16t2 = 32t + -32t + -16t2 + 16t2

Combine like terms: 32t + -32t = 0
17 + -32t + 16t2 = 0 + -16t2 + 16t2
17 + -32t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
17 + -32t + 16t2 = 0

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

Divide each side by '16'.
1.0625 + -2t + t2 = 0

Move the constant term to the right:

Add '-1.0625' to each side of the equation.
1.0625 + -2t + -1.0625 + t2 = 0 + -1.0625

Reorder the terms:
1.0625 + -1.0625 + -2t + t2 = 0 + -1.0625

Combine like terms: 1.0625 + -1.0625 = 0.0000
0.0000 + -2t + t2 = 0 + -1.0625
-2t + t2 = 0 + -1.0625

Combine like terms: 0 + -1.0625 = -1.0625
-2t + t2 = -1.0625

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 = -1.0625 + 1

Reorder the terms:
1 + -2t + t2 = -1.0625 + 1

Combine like terms: -1.0625 + 1 = -0.0625
1 + -2t + t2 = -0.0625

Factor a perfect square on the left side:
(t + -1)(t + -1) = -0.0625

Can't calculate square root of the right side.

The solution to this equation could not be determined.