21x^2-11x+2=0

Solution for 21x^2-11x+2=0 equation:

Simplifying
21x2 + -11x + 2 = 0

Reorder the terms:
2 + -11x + 21x2 = 0

Solving
2 + -11x + 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'.
0.09523809524 + -0.5238095238x + x2 = 0

Move the constant term to the right:

Add '-0.09523809524' to each side of the equation.
0.09523809524 + -0.5238095238x + -0.09523809524 + x2 = 0 + -0.09523809524

Reorder the terms:
0.09523809524 + -0.09523809524 + -0.5238095238x + x2 = 0 + -0.09523809524

Combine like terms: 0.09523809524 + -0.09523809524 = 0.00000000000
0.00000000000 + -0.5238095238x + x2 = 0 + -0.09523809524
-0.5238095238x + x2 = 0 + -0.09523809524

Combine like terms: 0 + -0.09523809524 = -0.09523809524
-0.5238095238x + x2 = -0.09523809524

The x term is -0.5238095238x.  Take half its coefficient (-0.2619047619).
Square it (0.06859410431) and add it to both sides.

Add '0.06859410431' to each side of the equation.
-0.5238095238x + 0.06859410431 + x2 = -0.09523809524 + 0.06859410431

Reorder the terms:
0.06859410431 + -0.5238095238x + x2 = -0.09523809524 + 0.06859410431

Combine like terms: -0.09523809524 + 0.06859410431 = -0.02664399093
0.06859410431 + -0.5238095238x + x2 = -0.02664399093

Factor a perfect square on the left side:
(x + -0.2619047619)(x + -0.2619047619) = -0.02664399093

Can't calculate square root of the right side.

The solution to this equation could not be determined.