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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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