19b(b)+19b+6=0

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Solution for 19b(b)+19b+6=0 equation:


Simplifying
19b(b) + 19b + 6 = 0

Multiply b * b
19b2 + 19b + 6 = 0

Reorder the terms:
6 + 19b + 19b2 = 0

Solving
6 + 19b + 19b2 = 0

Solving for variable 'b'.

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

Divide each side by '19'.
0.3157894737 + b + b2 = 0

Move the constant term to the right:

Add '-0.3157894737' to each side of the equation.
0.3157894737 + b + -0.3157894737 + b2 = 0 + -0.3157894737

Reorder the terms:
0.3157894737 + -0.3157894737 + b + b2 = 0 + -0.3157894737

Combine like terms: 0.3157894737 + -0.3157894737 = 0.0000000000
0.0000000000 + b + b2 = 0 + -0.3157894737
b + b2 = 0 + -0.3157894737

Combine like terms: 0 + -0.3157894737 = -0.3157894737
b + b2 = -0.3157894737

The b term is b.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + b2 = -0.3157894737 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + b2 = -0.3157894737 + 0.25

Combine like terms: -0.3157894737 + 0.25 = -0.0657894737
1.25 + b2 = -0.0657894737

Factor a perfect square on the left side:
(b + 0.5)(b + 0.5) = -0.0657894737

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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