b^2+22+9b=0

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Solution for b^2+22+9b=0 equation:


Simplifying
b2 + 22 + 9b = 0

Reorder the terms:
22 + 9b + b2 = 0

Solving
22 + 9b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 9b + -22 + b2 = 0 + -22

Reorder the terms:
22 + -22 + 9b + b2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 9b + b2 = 0 + -22
9b + b2 = 0 + -22

Combine like terms: 0 + -22 = -22
9b + b2 = -22

The b term is 9b.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9b + 20.25 + b2 = -22 + 20.25

Reorder the terms:
20.25 + 9b + b2 = -22 + 20.25

Combine like terms: -22 + 20.25 = -1.75
20.25 + 9b + b2 = -1.75

Factor a perfect square on the left side:
(b + 4.5)(b + 4.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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