0=-16t^2+64t-72

Solution for 0=-16t^2+64t-72 equation:

Simplifying
0 = -16t2 + 64t + -72

Reorder the terms:
0 = -72 + 64t + -16t2

Solving
0 = -72 + 64t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 72 = 72
72 + -64t + 16t2 = -72 + 64t + -16t2 + 72 + -64t + 16t2

Reorder the terms:
72 + -64t + 16t2 = -72 + 72 + 64t + -64t + -16t2 + 16t2

Combine like terms: -72 + 72 = 0
72 + -64t + 16t2 = 0 + 64t + -64t + -16t2 + 16t2
72 + -64t + 16t2 = 64t + -64t + -16t2 + 16t2

Combine like terms: 64t + -64t = 0
72 + -64t + 16t2 = 0 + -16t2 + 16t2
72 + -64t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
72 + -64t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(9 + -8t + 2t2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(9 + -8t + 2t2)' equal to zero and attempt to solve:

Simplifying
9 + -8t + 2t2 = 0

Solving
9 + -8t + 2t2 = 0

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

Divide each side by '2'.
4.5 + -4t + t2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -4t + -4.5 + t2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -4t + t2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -4t + t2 = 0 + -4.5
-4t + t2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-4t + t2 = -4.5

The t term is -4t.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4t + 4 + t2 = -4.5 + 4

Reorder the terms:
4 + -4t + t2 = -4.5 + 4

Combine like terms: -4.5 + 4 = -0.5
4 + -4t + t2 = -0.5

Factor a perfect square on the left side:
(t + -2)(t + -2) = -0.5

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.