6x^2=x-2

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


Simplifying
6x2 = x + -2

Reorder the terms:
6x2 = -2 + x

Solving
6x2 = -2 + x

Solving for variable 'x'.

Reorder the terms:
2 + -1x + 6x2 = -2 + x + 2 + -1x

Reorder the terms:
2 + -1x + 6x2 = -2 + 2 + x + -1x

Combine like terms: -2 + 2 = 0
2 + -1x + 6x2 = 0 + x + -1x
2 + -1x + 6x2 = x + -1x

Combine like terms: x + -1x = 0
2 + -1x + 6x2 = 0

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

Divide each side by '6'.
0.3333333333 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.1666666667x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.1666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.1666666667x + x2 = 0 + -0.3333333333
-0.1666666667x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.1666666667x + x2 = -0.3333333333

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 = -0.3333333333 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -0.3333333333 + 0.006944444447

Combine like terms: -0.3333333333 + 0.006944444447 = -0.326388888853
0.006944444447 + -0.1666666667x + x2 = -0.326388888853

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -0.326388888853

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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