3x^2+3x+6=2

Solution for 3x^2+3x+6=2 equation:

Simplifying
3x2 + 3x + 6 = 2

Reorder the terms:
6 + 3x + 3x2 = 2

Solving
6 + 3x + 3x2 = 2

Solving for variable 'x'.

Reorder the terms:
6 + -2 + 3x + 3x2 = 2 + -2

Combine like terms: 6 + -2 = 4
4 + 3x + 3x2 = 2 + -2

Combine like terms: 2 + -2 = 0
4 + 3x + 3x2 = 0

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

Divide each side by '3'.
1.333333333 + x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + x + x2 = 0 + -1.333333333
x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
x + x2 = -1.333333333

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -1.333333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -1.333333333 + 0.25

Combine like terms: -1.333333333 + 0.25 = -1.083333333
1.25 + x2 = -1.083333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.