b^2+14b+92=0

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Solution for b^2+14b+92=0 equation:


Simplifying
b2 + 14b + 92 = 0

Reorder the terms:
92 + 14b + b2 = 0

Solving
92 + 14b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-92' to each side of the equation.
92 + 14b + -92 + b2 = 0 + -92

Reorder the terms:
92 + -92 + 14b + b2 = 0 + -92

Combine like terms: 92 + -92 = 0
0 + 14b + b2 = 0 + -92
14b + b2 = 0 + -92

Combine like terms: 0 + -92 = -92
14b + b2 = -92

The b term is 14b.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14b + 49 + b2 = -92 + 49

Reorder the terms:
49 + 14b + b2 = -92 + 49

Combine like terms: -92 + 49 = -43
49 + 14b + b2 = -43

Factor a perfect square on the left side:
(b + 7)(b + 7) = -43

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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