12=-16t^2+24t-4

Solution for 12=-16t^2+24t-4 equation:

Simplifying
12 = -16t2 + 24t + -4

Reorder the terms:
12 = -4 + 24t + -16t2

Solving
12 = -4 + 24t + -16t2

Solving for variable 't'.

Combine like terms: 12 + 4 = 16
16 + -24t + 16t2 = -4 + 24t + -16t2 + 4 + -24t + 16t2

Reorder the terms:
16 + -24t + 16t2 = -4 + 4 + 24t + -24t + -16t2 + 16t2

Combine like terms: -4 + 4 = 0
16 + -24t + 16t2 = 0 + 24t + -24t + -16t2 + 16t2
16 + -24t + 16t2 = 24t + -24t + -16t2 + 16t2

Combine like terms: 24t + -24t = 0
16 + -24t + 16t2 = 0 + -16t2 + 16t2
16 + -24t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
16 + -24t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(2 + -3t + 2t2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(2 + -3t + 2t2)' equal to zero and attempt to solve:

Simplifying
2 + -3t + 2t2 = 0

Solving
2 + -3t + 2t2 = 0

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

Divide each side by '2'.
1 + -1.5t + t2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5t + -1 + t2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5t + t2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5t + t2 = 0 + -1
-1.5t + t2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5t + t2 = -1

The t term is -1.5t.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5t + 0.5625 + t2 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5t + t2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5t + t2 = -0.4375

Factor a perfect square on the left side:
(t + -0.75)(t + -0.75) = -0.4375

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.