3x^2=x-6

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

Simplifying
3x2 = x + -6

Reorder the terms:
3x2 = -6 + x

Solving
3x2 = -6 + x

Solving for variable 'x'.

Reorder the terms:
6 + -1x + 3x2 = -6 + x + 6 + -1x

Reorder the terms:
6 + -1x + 3x2 = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
6 + -1x + 3x2 = 0 + x + -1x
6 + -1x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
6 + -1x + 3x2 = 0

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

Divide each side by '3'.
2 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -0.3333333333x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -0.3333333333x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.3333333333x + x2 = 0 + -2
-0.3333333333x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-0.3333333333x + x2 = -2

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 = -2 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -2 + 0.02777777779

Combine like terms: -2 + 0.02777777779 = -1.97222222221
0.02777777779 + -0.3333333333x + x2 = -1.97222222221

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.