21x^2-6x+1=0

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Solution for 21x^2-6x+1=0 equation: 


Simplifying
21x2 + -6x + 1 = 0

Reorder the terms:
1 + -6x + 21x2 = 0

Solving
1 + -6x + 21x2 = 0

Solving for variable 'x'.

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

Divide each side by '21'.
0.04761904762 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-0.04761904762' to each side of the equation.
0.04761904762 + -0.2857142857x + -0.04761904762 + x2 = 0 + -0.04761904762

Reorder the terms:
0.04761904762 + -0.04761904762 + -0.2857142857x + x2 = 0 + -0.04761904762

Combine like terms: 0.04761904762 + -0.04761904762 = 0.00000000000
0.00000000000 + -0.2857142857x + x2 = 0 + -0.04761904762
-0.2857142857x + x2 = 0 + -0.04761904762

Combine like terms: 0 + -0.04761904762 = -0.04761904762
-0.2857142857x + x2 = -0.04761904762

The x term is -0.2857142857x.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857x + 0.02040816328 + x2 = -0.04761904762 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = -0.04761904762 + 0.02040816328

Combine like terms: -0.04761904762 + 0.02040816328 = -0.02721088434
0.02040816328 + -0.2857142857x + x2 = -0.02721088434

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -0.02721088434

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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