49b^2+27b+4=0

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Solution for 49b^2+27b+4=0 equation:


Simplifying
49b2 + 27b + 4 = 0

Reorder the terms:
4 + 27b + 49b2 = 0

Solving
4 + 27b + 49b2 = 0

Solving for variable 'b'.

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

Divide each side by '49'.
0.08163265306 + 0.5510204082b + b2 = 0

Move the constant term to the right:

Add '-0.08163265306' to each side of the equation.
0.08163265306 + 0.5510204082b + -0.08163265306 + b2 = 0 + -0.08163265306

Reorder the terms:
0.08163265306 + -0.08163265306 + 0.5510204082b + b2 = 0 + -0.08163265306

Combine like terms: 0.08163265306 + -0.08163265306 = 0.00000000000
0.00000000000 + 0.5510204082b + b2 = 0 + -0.08163265306
0.5510204082b + b2 = 0 + -0.08163265306

Combine like terms: 0 + -0.08163265306 = -0.08163265306
0.5510204082b + b2 = -0.08163265306

The b term is 0.5510204082b.  Take half its coefficient (0.2755102041).
Square it (0.07590587256) and add it to both sides.

Add '0.07590587256' to each side of the equation.
0.5510204082b + 0.07590587256 + b2 = -0.08163265306 + 0.07590587256

Reorder the terms:
0.07590587256 + 0.5510204082b + b2 = -0.08163265306 + 0.07590587256

Combine like terms: -0.08163265306 + 0.07590587256 = -0.0057267805
0.07590587256 + 0.5510204082b + b2 = -0.0057267805

Factor a perfect square on the left side:
(b + 0.2755102041)(b + 0.2755102041) = -0.0057267805

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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