-8b(4b+4)+(33b-6)=0

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Solution for -8b(4b+4)+(33b-6)=0 equation:


Simplifying
-8b(4b + 4) + (33b + -6) = 0

Reorder the terms:
-8b(4 + 4b) + (33b + -6) = 0
(4 * -8b + 4b * -8b) + (33b + -6) = 0
(-32b + -32b2) + (33b + -6) = 0

Reorder the terms:
-32b + -32b2 + (-6 + 33b) = 0

Remove parenthesis around (-6 + 33b)
-32b + -32b2 + -6 + 33b = 0

Reorder the terms:
-6 + -32b + 33b + -32b2 = 0

Combine like terms: -32b + 33b = 1b
-6 + 1b + -32b2 = 0

Solving
-6 + 1b + -32b2 = 0

Solving for variable 'b'.

Begin completing the square.  Divide all terms by
-32 the coefficient of the squared term: 

Divide each side by '-32'.
0.1875 + -0.03125b + b2 = 0

Move the constant term to the right:

Add '-0.1875' to each side of the equation.
0.1875 + -0.03125b + -0.1875 + b2 = 0 + -0.1875

Reorder the terms:
0.1875 + -0.1875 + -0.03125b + b2 = 0 + -0.1875

Combine like terms: 0.1875 + -0.1875 = 0.0000
0.0000 + -0.03125b + b2 = 0 + -0.1875
-0.03125b + b2 = 0 + -0.1875

Combine like terms: 0 + -0.1875 = -0.1875
-0.03125b + b2 = -0.1875

The b term is -0.03125b.  Take half its coefficient (-0.015625).
Square it (0.000244140625) and add it to both sides.

Add '0.000244140625' to each side of the equation.
-0.03125b + 0.000244140625 + b2 = -0.1875 + 0.000244140625

Reorder the terms:
0.000244140625 + -0.03125b + b2 = -0.1875 + 0.000244140625

Combine like terms: -0.1875 + 0.000244140625 = -0.187255859375
0.000244140625 + -0.03125b + b2 = -0.187255859375

Factor a perfect square on the left side:
(b + -0.015625)(b + -0.015625) = -0.187255859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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