21x^2-10x+2=0

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Solution for 21x^2-10x+2=0 equation: 


Simplifying
21x2 + -10x + 2 = 0

Reorder the terms:
2 + -10x + 21x2 = 0

Solving
2 + -10x + 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 + -0.4761904762x + x2 = 0

Move the constant term to the right:

Add '-0.09523809524' to each side of the equation.
0.09523809524 + -0.4761904762x + -0.09523809524 + x2 = 0 + -0.09523809524

Reorder the terms:
0.09523809524 + -0.09523809524 + -0.4761904762x + x2 = 0 + -0.09523809524

Combine like terms: 0.09523809524 + -0.09523809524 = 0.00000000000
0.00000000000 + -0.4761904762x + x2 = 0 + -0.09523809524
-0.4761904762x + x2 = 0 + -0.09523809524

Combine like terms: 0 + -0.09523809524 = -0.09523809524
-0.4761904762x + x2 = -0.09523809524

The x term is -0.4761904762x.  Take half its coefficient (-0.2380952381).
Square it (0.05668934241) and add it to both sides.

Add '0.05668934241' to each side of the equation.
-0.4761904762x + 0.05668934241 + x2 = -0.09523809524 + 0.05668934241

Reorder the terms:
0.05668934241 + -0.4761904762x + x2 = -0.09523809524 + 0.05668934241

Combine like terms: -0.09523809524 + 0.05668934241 = -0.03854875283
0.05668934241 + -0.4761904762x + x2 = -0.03854875283

Factor a perfect square on the left side:
(x + -0.2380952381)(x + -0.2380952381) = -0.03854875283

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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