6x^2+3=x

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

Simplifying
6x2 + 3 = x

Reorder the terms:
3 + 6x2 = x

Solving
3 + 6x2 = x

Solving for variable 'x'.

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

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

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

Divide each side by '6'.
0.5 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.1666666667x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.1666666667x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.1666666667x + x2 = 0 + -0.5
-0.1666666667x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.1666666667x + x2 = -0.5

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -0.5 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -0.5 + 0.006944444447

Combine like terms: -0.5 + 0.006944444447 = -0.493055555553
0.006944444447 + -0.1666666667x + x2 = -0.493055555553

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -0.493055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.