16t^2-32t+20=0

Solution for 16t^2-32t+20=0 equation:

Simplifying
16t2 + -32t + 20 = 0

Reorder the terms:
20 + -32t + 16t2 = 0

Solving
20 + -32t + 16t2 = 0

Solving for variable 't'.

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.