0=16t^2-16t+320

Solution for 0=16t^2-16t+320 equation:

Simplifying
0 = 16t2 + -16t + 320

Reorder the terms:
0 = 320 + -16t + 16t2

Solving
0 = 320 + -16t + 16t2

Solving for variable 't'.

Combine like terms: 0 + -320 = -320
-320 + 16t + -16t2 = 320 + -16t + 16t2 + -320 + 16t + -16t2

Reorder the terms:
-320 + 16t + -16t2 = 320 + -320 + -16t + 16t + 16t2 + -16t2

Combine like terms: 320 + -320 = 0
-320 + 16t + -16t2 = 0 + -16t + 16t + 16t2 + -16t2
-320 + 16t + -16t2 = -16t + 16t + 16t2 + -16t2

Combine like terms: -16t + 16t = 0
-320 + 16t + -16t2 = 0 + 16t2 + -16t2
-320 + 16t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
-320 + 16t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-20 + t + -1t2) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-20 + t + -1t2)' equal to zero and attempt to solve:

Simplifying
-20 + t + -1t2 = 0

Solving
-20 + t + -1t2 = 0

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

Divide each side by '-1'.
20 + -1t + t2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -1t + -20 + t2 = 0 + -20

Reorder the terms:
20 + -20 + -1t + t2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1t + t2 = 0 + -20
-1t + t2 = 0 + -20

Combine like terms: 0 + -20 = -20
-1t + t2 = -20

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 = -20 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -20 + 0.25

Combine like terms: -20 + 0.25 = -19.75
0.25 + -1t + t2 = -19.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -19.75

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.