6b^2-13b+3=-13

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Solution for 6b^2-13b+3=-13 equation: 


Simplifying
6b2 + -13b + 3 = -13

Reorder the terms:
3 + -13b + 6b2 = -13

Solving
3 + -13b + 6b2 = -13

Solving for variable 'b'.

Reorder the terms:
3 + 13 + -13b + 6b2 = -13 + 13

Combine like terms: 3 + 13 = 16
16 + -13b + 6b2 = -13 + 13

Combine like terms: -13 + 13 = 0
16 + -13b + 6b2 = 0

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

Divide each side by '6'.
2.666666667 + -2.166666667b + b2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -2.166666667b + -2.666666667 + b2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -2.166666667b + b2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -2.166666667b + b2 = 0 + -2.666666667
-2.166666667b + b2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-2.166666667b + b2 = -2.666666667

The b term is -2.166666667b.  Take half its coefficient (-1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
-2.166666667b + 1.173611113 + b2 = -2.666666667 + 1.173611113

Reorder the terms:
1.173611113 + -2.166666667b + b2 = -2.666666667 + 1.173611113

Combine like terms: -2.666666667 + 1.173611113 = -1.493055554
1.173611113 + -2.166666667b + b2 = -1.493055554

Factor a perfect square on the left side:
(b + -1.083333334)(b + -1.083333334) = -1.493055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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