6x^2-x+22=0

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Solution for 6x^2-x+22=0 equation: 


Simplifying
6x2 + -1x + 22 = 0

Reorder the terms:
22 + -1x + 6x2 = 0

Solving
22 + -1x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
3.666666667 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -0.1666666667x + -3.666666667 + x2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -0.1666666667x + x2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -0.1666666667x + x2 = 0 + -3.666666667
-0.1666666667x + x2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-0.1666666667x + x2 = -3.666666667

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 = -3.666666667 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -3.666666667 + 0.006944444447

Combine like terms: -3.666666667 + 0.006944444447 = -3.659722222553
0.006944444447 + -0.1666666667x + x2 = -3.659722222553

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -3.659722222553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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