3x^2+11=x

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Solution for 3x^2+11=x equation: 


Simplifying
3x2 + 11 = x

Reorder the terms:
11 + 3x2 = x

Solving
11 + 3x2 = x

Solving for variable 'x'.

Reorder the terms:
11 + -1x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
11 + -1x + 3x2 = 0

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

Divide each side by '3'.
3.666666667 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -0.3333333333x + -3.666666667 + x2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -0.3333333333x + x2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -3.666666667
-0.3333333333x + x2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-0.3333333333x + x2 = -3.666666667

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 = -3.666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -3.666666667 + 0.02777777779

Combine like terms: -3.666666667 + 0.02777777779 = -3.63888888921
0.02777777779 + -0.3333333333x + x2 = -3.63888888921

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -3.63888888921

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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