3b^2-25b+63=0

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Solution for 3b^2-25b+63=0 equation:


Simplifying
3b2 + -25b + 63 = 0

Reorder the terms:
63 + -25b + 3b2 = 0

Solving
63 + -25b + 3b2 = 0

Solving for variable 'b'.

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

Divide each side by '3'.
21 + -8.333333333b + b2 = 0

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + -8.333333333b + -21 + b2 = 0 + -21

Reorder the terms:
21 + -21 + -8.333333333b + b2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -8.333333333b + b2 = 0 + -21
-8.333333333b + b2 = 0 + -21

Combine like terms: 0 + -21 = -21
-8.333333333b + b2 = -21

The b term is -8.333333333b.  Take half its coefficient (-4.166666667).
Square it (17.36111111) and add it to both sides.

Add '17.36111111' to each side of the equation.
-8.333333333b + 17.36111111 + b2 = -21 + 17.36111111

Reorder the terms:
17.36111111 + -8.333333333b + b2 = -21 + 17.36111111

Combine like terms: -21 + 17.36111111 = -3.63888889
17.36111111 + -8.333333333b + b2 = -3.63888889

Factor a perfect square on the left side:
(b + -4.166666667)(b + -4.166666667) = -3.63888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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