3*x(2x-1)+13=x

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Solution for 3*x(2x-1)+13=x equation: 


Simplifying
3x(2x + -1) + 13 = x

Reorder the terms:
3x(-1 + 2x) + 13 = x
(-1 * 3x + 2x * 3x) + 13 = x
(-3x + 6x2) + 13 = x

Reorder the terms:
13 + -3x + 6x2 = x

Solving
13 + -3x + 6x2 = x

Solving for variable 'x'.

Reorder the terms:
13 + -3x + -1x + 6x2 = x + -1x

Combine like terms: -3x + -1x = -4x
13 + -4x + 6x2 = x + -1x

Combine like terms: x + -1x = 0
13 + -4x + 6x2 = 0

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

Divide each side by '6'.
2.166666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + -0.6666666667x + -2.166666667 + x2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + -0.6666666667x + x2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -2.166666667
-0.6666666667x + x2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
-0.6666666667x + x2 = -2.166666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -2.166666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -2.166666667 + 0.1111111112

Combine like terms: -2.166666667 + 0.1111111112 = -2.0555555558
0.1111111112 + -0.6666666667x + x2 = -2.0555555558

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -2.0555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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