6t^2+12t+8=0

Solution for 6t^2+12t+8=0 equation:

Simplifying
6t2 + 12t + 8 = 0

Reorder the terms:
8 + 12t + 6t2 = 0

Solving
8 + 12t + 6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 6t + 3t2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + 6t + 3t2)' equal to zero and attempt to solve:

Simplifying
4 + 6t + 3t2 = 0

Solving
4 + 6t + 3t2 = 0

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

Divide each side by '3'.
1.333333333 + 2t + t2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 2t + -1.333333333 + t2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 2t + t2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 2t + t2 = 0 + -1.333333333
2t + t2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
2t + t2 = -1.333333333

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 = -1.333333333 + 1

Reorder the terms:
1 + 2t + t2 = -1.333333333 + 1

Combine like terms: -1.333333333 + 1 = -0.333333333
1 + 2t + t2 = -0.333333333

Factor a perfect square on the left side:
(t + 1)(t + 1) = -0.333333333

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.