21x^2+20x+11=0

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Solution for 21x^2+20x+11=0 equation: 


Simplifying
21x2 + 20x + 11 = 0

Reorder the terms:
11 + 20x + 21x2 = 0

Solving
11 + 20x + 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'.
0.5238095238 + 0.9523809524x + x2 = 0

Move the constant term to the right:

Add '-0.5238095238' to each side of the equation.
0.5238095238 + 0.9523809524x + -0.5238095238 + x2 = 0 + -0.5238095238

Reorder the terms:
0.5238095238 + -0.5238095238 + 0.9523809524x + x2 = 0 + -0.5238095238

Combine like terms: 0.5238095238 + -0.5238095238 = 0.0000000000
0.0000000000 + 0.9523809524x + x2 = 0 + -0.5238095238
0.9523809524x + x2 = 0 + -0.5238095238

Combine like terms: 0 + -0.5238095238 = -0.5238095238
0.9523809524x + x2 = -0.5238095238

The x term is 0.9523809524x.  Take half its coefficient (0.4761904762).
Square it (0.2267573696) and add it to both sides.

Add '0.2267573696' to each side of the equation.
0.9523809524x + 0.2267573696 + x2 = -0.5238095238 + 0.2267573696

Reorder the terms:
0.2267573696 + 0.9523809524x + x2 = -0.5238095238 + 0.2267573696

Combine like terms: -0.5238095238 + 0.2267573696 = -0.2970521542
0.2267573696 + 0.9523809524x + x2 = -0.2970521542

Factor a perfect square on the left side:
(x + 0.4761904762)(x + 0.4761904762) = -0.2970521542

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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