6b^2-13b+36=0

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Solution for 6b^2-13b+36=0 equation:


Simplifying
6b2 + -13b + 36 = 0

Reorder the terms:
36 + -13b + 6b2 = 0

Solving
36 + -13b + 6b2 = 0

Solving for variable 'b'.

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

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

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -2.166666667b + -6 + b2 = 0 + -6

Reorder the terms:
6 + -6 + -2.166666667b + b2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2.166666667b + b2 = 0 + -6
-2.166666667b + b2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2.166666667b + b2 = -6

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 = -6 + 1.173611113

Reorder the terms:
1.173611113 + -2.166666667b + b2 = -6 + 1.173611113

Combine like terms: -6 + 1.173611113 = -4.826388887
1.173611113 + -2.166666667b + b2 = -4.826388887

Factor a perfect square on the left side:
(b + -1.083333334)(b + -1.083333334) = -4.826388887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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