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Simplifying 2b2 + 16b + 35 = 0 Reorder the terms: 35 + 16b + 2b2 = 0 Solving 35 + 16b + 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 + 8b + b2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + 8b + -17.5 + b2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + 8b + b2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 8b + b2 = 0 + -17.5 8b + b2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 8b + b2 = -17.5 The b term is 8b. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8b + 16 + b2 = -17.5 + 16 Reorder the terms: 16 + 8b + b2 = -17.5 + 16 Combine like terms: -17.5 + 16 = -1.5 16 + 8b + b2 = -1.5 Factor a perfect square on the left side: (b + 4)(b + 4) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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