6t^2-12t+3+8t+6=

Solution for 6t^2-12t+3+8t+6= equation:

Simplifying
6t2 + -12t + 3 + 8t + 6 = 0

Reorder the terms:
3 + 6 + -12t + 8t + 6t2 = 0

Combine like terms: 3 + 6 = 9
9 + -12t + 8t + 6t2 = 0

Combine like terms: -12t + 8t = -4t
9 + -4t + 6t2 = 0

Solving
9 + -4t + 6t2 = 0

Solving for variable 't'.

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

Divide each side by '6'.
1.5 + -0.6666666667t + t2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.6666666667t + -1.5 + t2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.6666666667t + t2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.6666666667t + t2 = 0 + -1.5
-0.6666666667t + t2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.6666666667t + t2 = -1.5

The t term is -0.6666666667t.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667t + 0.1111111112 + t2 = -1.5 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667t + t2 = -1.5 + 0.1111111112

Combine like terms: -1.5 + 0.1111111112 = -1.3888888888
0.1111111112 + -0.6666666667t + t2 = -1.3888888888

Factor a perfect square on the left side:
(t + -0.3333333334)(t + -0.3333333334) = -1.3888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.