21b^2-14b+4=0

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Solution for 21b^2-14b+4=0 equation:


Simplifying
21b2 + -14b + 4 = 0

Reorder the terms:
4 + -14b + 21b2 = 0

Solving
4 + -14b + 21b2 = 0

Solving for variable 'b'.

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

Divide each side by '21'.
0.1904761905 + -0.6666666667b + b2 = 0

Move the constant term to the right:

Add '-0.1904761905' to each side of the equation.
0.1904761905 + -0.6666666667b + -0.1904761905 + b2 = 0 + -0.1904761905

Reorder the terms:
0.1904761905 + -0.1904761905 + -0.6666666667b + b2 = 0 + -0.1904761905

Combine like terms: 0.1904761905 + -0.1904761905 = 0.0000000000
0.0000000000 + -0.6666666667b + b2 = 0 + -0.1904761905
-0.6666666667b + b2 = 0 + -0.1904761905

Combine like terms: 0 + -0.1904761905 = -0.1904761905
-0.6666666667b + b2 = -0.1904761905

The b term is -0.6666666667b.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667b + 0.1111111112 + b2 = -0.1904761905 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667b + b2 = -0.1904761905 + 0.1111111112

Combine like terms: -0.1904761905 + 0.1111111112 = -0.0793650793
0.1111111112 + -0.6666666667b + b2 = -0.0793650793

Factor a perfect square on the left side:
(b + -0.3333333334)(b + -0.3333333334) = -0.0793650793

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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