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Simplifying -2b2 + 5b + -35 = 0 Reorder the terms: -35 + 5b + -2b2 = 0 Solving -35 + 5b + -2b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 17.5 + -2.5b + b2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + -2.5b + -17.5 + b2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + -2.5b + b2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + -2.5b + b2 = 0 + -17.5 -2.5b + b2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 -2.5b + b2 = -17.5 The b term is -2.5b. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5b + 1.5625 + b2 = -17.5 + 1.5625 Reorder the terms: 1.5625 + -2.5b + b2 = -17.5 + 1.5625 Combine like terms: -17.5 + 1.5625 = -15.9375 1.5625 + -2.5b + b2 = -15.9375 Factor a perfect square on the left side: (b + -1.25)(b + -1.25) = -15.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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