9b^2+10b+1=-10

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Solution for 9b^2+10b+1=-10 equation: 


Simplifying
9b2 + 10b + 1 = -10

Reorder the terms:
1 + 10b + 9b2 = -10

Solving
1 + 10b + 9b2 = -10

Solving for variable 'b'.

Reorder the terms:
1 + 10 + 10b + 9b2 = -10 + 10

Combine like terms: 1 + 10 = 11
11 + 10b + 9b2 = -10 + 10

Combine like terms: -10 + 10 = 0
11 + 10b + 9b2 = 0

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

Divide each side by '9'.
1.222222222 + 1.111111111b + b2 = 0

Move the constant term to the right:

Add '-1.222222222' to each side of the equation.
1.222222222 + 1.111111111b + -1.222222222 + b2 = 0 + -1.222222222

Reorder the terms:
1.222222222 + -1.222222222 + 1.111111111b + b2 = 0 + -1.222222222

Combine like terms: 1.222222222 + -1.222222222 = 0.000000000
0.000000000 + 1.111111111b + b2 = 0 + -1.222222222
1.111111111b + b2 = 0 + -1.222222222

Combine like terms: 0 + -1.222222222 = -1.222222222
1.111111111b + b2 = -1.222222222

The b term is 1.111111111b.  Take half its coefficient (0.5555555555).
Square it (0.3086419752) and add it to both sides.

Add '0.3086419752' to each side of the equation.
1.111111111b + 0.3086419752 + b2 = -1.222222222 + 0.3086419752

Reorder the terms:
0.3086419752 + 1.111111111b + b2 = -1.222222222 + 0.3086419752

Combine like terms: -1.222222222 + 0.3086419752 = -0.9135802468
0.3086419752 + 1.111111111b + b2 = -0.9135802468

Factor a perfect square on the left side:
(b + 0.5555555555)(b + 0.5555555555) = -0.9135802468

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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