4b^2-12b+39=

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Solution for 4b^2-12b+39= equation:


Simplifying
4b2 + -12b + 39 = 0

Reorder the terms:
39 + -12b + 4b2 = 0

Solving
39 + -12b + 4b2 = 0

Solving for variable 'b'.

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

Divide each side by '4'.
9.75 + -3b + b2 = 0

Move the constant term to the right:

Add '-9.75' to each side of the equation.
9.75 + -3b + -9.75 + b2 = 0 + -9.75

Reorder the terms:
9.75 + -9.75 + -3b + b2 = 0 + -9.75

Combine like terms: 9.75 + -9.75 = 0.00
0.00 + -3b + b2 = 0 + -9.75
-3b + b2 = 0 + -9.75

Combine like terms: 0 + -9.75 = -9.75
-3b + b2 = -9.75

The b term is -3b.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3b + 2.25 + b2 = -9.75 + 2.25

Reorder the terms:
2.25 + -3b + b2 = -9.75 + 2.25

Combine like terms: -9.75 + 2.25 = -7.5
2.25 + -3b + b2 = -7.5

Factor a perfect square on the left side:
(b + -1.5)(b + -1.5) = -7.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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