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Simplifying (-6b2 + -2b + -1) + (-2b2 + 4b) = 0 Reorder the terms: (-1 + -2b + -6b2) + (-2b2 + 4b) = 0 Remove parenthesis around (-1 + -2b + -6b2) -1 + -2b + -6b2 + (-2b2 + 4b) = 0 Reorder the terms: -1 + -2b + -6b2 + (4b + -2b2) = 0 Remove parenthesis around (4b + -2b2) -1 + -2b + -6b2 + 4b + -2b2 = 0 Reorder the terms: -1 + -2b + 4b + -6b2 + -2b2 = 0 Combine like terms: -2b + 4b = 2b -1 + 2b + -6b2 + -2b2 = 0 Combine like terms: -6b2 + -2b2 = -8b2 -1 + 2b + -8b2 = 0 Solving -1 + 2b + -8b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.125 + -0.25b + b2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + -0.25b + -0.125 + b2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + -0.25b + b2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -0.25b + b2 = 0 + -0.125 -0.25b + b2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 -0.25b + b2 = -0.125 The b term is -0.25b. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25b + 0.015625 + b2 = -0.125 + 0.015625 Reorder the terms: 0.015625 + -0.25b + b2 = -0.125 + 0.015625 Combine like terms: -0.125 + 0.015625 = -0.109375 0.015625 + -0.25b + b2 = -0.109375 Factor a perfect square on the left side: (b + -0.125)(b + -0.125) = -0.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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