6b^2-17b+28=0

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Solution for 6b^2-17b+28=0 equation: 


Simplifying
6b2 + -17b + 28 = 0

Reorder the terms:
28 + -17b + 6b2 = 0

Solving
28 + -17b + 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'.
4.666666667 + -2.833333333b + b2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -2.833333333b + -4.666666667 + b2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -2.833333333b + b2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -2.833333333b + b2 = 0 + -4.666666667
-2.833333333b + b2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-2.833333333b + b2 = -4.666666667

The b term is -2.833333333b.  Take half its coefficient (-1.416666667).
Square it (2.006944445) and add it to both sides.

Add '2.006944445' to each side of the equation.
-2.833333333b + 2.006944445 + b2 = -4.666666667 + 2.006944445

Reorder the terms:
2.006944445 + -2.833333333b + b2 = -4.666666667 + 2.006944445

Combine like terms: -4.666666667 + 2.006944445 = -2.659722222
2.006944445 + -2.833333333b + b2 = -2.659722222

Factor a perfect square on the left side:
(b + -1.416666667)(b + -1.416666667) = -2.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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