3x^2+x+1=2x-2

Solution for 3x^2+x+1=2x-2 equation:

Simplifying
3x2 + x + 1 = 2x + -2

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

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

Solving
1 + x + 3x2 = -2 + 2x

Solving for variable 'x'.

Reorder the terms:
1 + 2 + x + -2x + 3x2 = -2 + 2x + 2 + -2x

Combine like terms: 1 + 2 = 3
3 + x + -2x + 3x2 = -2 + 2x + 2 + -2x

Combine like terms: x + -2x = -1x
3 + -1x + 3x2 = -2 + 2x + 2 + -2x

Reorder the terms:
3 + -1x + 3x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
3 + -1x + 3x2 = 0 + 2x + -2x
3 + -1x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1x + 3x2 = 0

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

Divide each side by '3'.
1 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.3333333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.3333333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.3333333333x + x2 = 0 + -1
-0.3333333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.3333333333x + x2 = -1

The x term is -0.3333333333x.  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.
-0.3333333333x + 0.02777777779 + x2 = -1 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1 + 0.02777777779

Combine like terms: -1 + 0.02777777779 = -0.97222222221
0.02777777779 + -0.3333333333x + x2 = -0.97222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.