6x^2+3=2x-6

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

Simplifying
6x2 + 3 = 2x + -6

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

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

Solving
3 + 6x2 = -6 + 2x

Solving for variable 'x'.

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

Combine like terms: 3 + 6 = 9
9 + -2x + 6x2 = -6 + 2x + 6 + -2x

Reorder the terms:
9 + -2x + 6x2 = -6 + 6 + 2x + -2x

Combine like terms: -6 + 6 = 0
9 + -2x + 6x2 = 0 + 2x + -2x
9 + -2x + 6x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -2x + 6x2 = 0

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

Divide each side by '6'.
1.5 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.3333333333x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.3333333333x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.3333333333x + x2 = 0 + -1.5
-0.3333333333x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.3333333333x + x2 = -1.5

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 = -1.5 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1.5 + 0.02777777779

Combine like terms: -1.5 + 0.02777777779 = -1.47222222221
0.02777777779 + -0.3333333333x + x2 = -1.47222222221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -1.47222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.