7b^2+2b+7=0

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Solution for 7b^2+2b+7=0 equation:


Simplifying
7b2 + 2b + 7 = 0

Reorder the terms:
7 + 2b + 7b2 = 0

Solving
7 + 2b + 7b2 = 0

Solving for variable 'b'.

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

Divide each side by '7'.
1 + 0.2857142857b + b2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.2857142857b + -1 + b2 = 0 + -1

Reorder the terms:
1 + -1 + 0.2857142857b + b2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.2857142857b + b2 = 0 + -1
0.2857142857b + b2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.2857142857b + b2 = -1

The b term is 0.2857142857b.  Take half its coefficient (0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
0.2857142857b + 0.02040816328 + b2 = -1 + 0.02040816328

Reorder the terms:
0.02040816328 + 0.2857142857b + b2 = -1 + 0.02040816328

Combine like terms: -1 + 0.02040816328 = -0.97959183672
0.02040816328 + 0.2857142857b + b2 = -0.97959183672

Factor a perfect square on the left side:
(b + 0.1428571429)(b + 0.1428571429) = -0.97959183672

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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