-3t(t-1)=2t+6

Solution for -3t(t-1)=2t+6 equation:

Simplifying
-3t(t + -1) = 2t + 6

Reorder the terms:
-3t(-1 + t) = 2t + 6
(-1 * -3t + t * -3t) = 2t + 6
(3t + -3t2) = 2t + 6

Reorder the terms:
3t + -3t2 = 6 + 2t

Solving
3t + -3t2 = 6 + 2t

Solving for variable 't'.

Reorder the terms:
-6 + 3t + -2t + -3t2 = 6 + 2t + -6 + -2t

Combine like terms: 3t + -2t = 1t
-6 + 1t + -3t2 = 6 + 2t + -6 + -2t

Reorder the terms:
-6 + 1t + -3t2 = 6 + -6 + 2t + -2t

Combine like terms: 6 + -6 = 0
-6 + 1t + -3t2 = 0 + 2t + -2t
-6 + 1t + -3t2 = 2t + -2t

Combine like terms: 2t + -2t = 0
-6 + 1t + -3t2 = 0

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

Divide each side by '-3'.
2 + -0.3333333333t + t2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -0.3333333333t + -2 + t2 = 0 + -2

Reorder the terms:
2 + -2 + -0.3333333333t + t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.3333333333t + t2 = 0 + -2
-0.3333333333t + t2 = 0 + -2

Combine like terms: 0 + -2 = -2
-0.3333333333t + t2 = -2

The t term is -0.3333333333t.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333t + 0.02777777779 + t2 = -2 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333t + t2 = -2 + 0.02777777779

Combine like terms: -2 + 0.02777777779 = -1.97222222221
0.02777777779 + -0.3333333333t + t2 = -1.97222222221

Factor a perfect square on the left side:
(t + -0.1666666667)(t + -0.1666666667) = -1.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.