-16t^2+22t-8=0

Solution for -16t^2+22t-8=0 equation:

Simplifying
-16t2 + 22t + -8 = 0

Reorder the terms:
-8 + 22t + -16t2 = 0

Solving
-8 + 22t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 11t + -8t2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + 11t + -8t2)' equal to zero and attempt to solve:

Simplifying
-4 + 11t + -8t2 = 0

Solving
-4 + 11t + -8t2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
0.5 + -1.375t + t2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.375t + -0.5 + t2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.375t + t2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.375t + t2 = 0 + -0.5
-1.375t + t2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.375t + t2 = -0.5

The t term is -1.375t.  Take half its coefficient (-0.6875).
Square it (0.47265625) and add it to both sides.

Add '0.47265625' to each side of the equation.
-1.375t + 0.47265625 + t2 = -0.5 + 0.47265625

Reorder the terms:
0.47265625 + -1.375t + t2 = -0.5 + 0.47265625

Combine like terms: -0.5 + 0.47265625 = -0.02734375
0.47265625 + -1.375t + t2 = -0.02734375

Factor a perfect square on the left side:
(t + -0.6875)(t + -0.6875) = -0.02734375

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.