-3b^2=11-3b

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Solution for -3b^2=11-3b equation: 


Simplifying
-3b2 = 11 + -3b

Solving
-3b2 = 11 + -3b

Solving for variable 'b'.

Reorder the terms:
-11 + 3b + -3b2 = 11 + -3b + -11 + 3b

Reorder the terms:
-11 + 3b + -3b2 = 11 + -11 + -3b + 3b

Combine like terms: 11 + -11 = 0
-11 + 3b + -3b2 = 0 + -3b + 3b
-11 + 3b + -3b2 = -3b + 3b

Combine like terms: -3b + 3b = 0
-11 + 3b + -3b2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
3.666666667 + -1b + b2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -1b + -3.666666667 + b2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -1b + b2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -1b + b2 = 0 + -3.666666667
-1b + b2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-1b + b2 = -3.666666667

The b term is -1b.  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.
-1b + 0.25 + b2 = -3.666666667 + 0.25

Reorder the terms:
0.25 + -1b + b2 = -3.666666667 + 0.25

Combine like terms: -3.666666667 + 0.25 = -3.416666667
0.25 + -1b + b2 = -3.416666667

Factor a perfect square on the left side:
(b + -0.5)(b + -0.5) = -3.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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