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Simplifying 0 = b2 + -8b + 115 Reorder the terms: 0 = 115 + -8b + b2 Solving 0 = 115 + -8b + b2 Solving for variable 'b'. Combine like terms: 0 + -115 = -115 -115 + 8b + -1b2 = 115 + -8b + b2 + -115 + 8b + -1b2 Reorder the terms: -115 + 8b + -1b2 = 115 + -115 + -8b + 8b + b2 + -1b2 Combine like terms: 115 + -115 = 0 -115 + 8b + -1b2 = 0 + -8b + 8b + b2 + -1b2 -115 + 8b + -1b2 = -8b + 8b + b2 + -1b2 Combine like terms: -8b + 8b = 0 -115 + 8b + -1b2 = 0 + b2 + -1b2 -115 + 8b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -115 + 8b + -1b2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 115 + -8b + b2 = 0 Move the constant term to the right: Add '-115' to each side of the equation. 115 + -8b + -115 + b2 = 0 + -115 Reorder the terms: 115 + -115 + -8b + b2 = 0 + -115 Combine like terms: 115 + -115 = 0 0 + -8b + b2 = 0 + -115 -8b + b2 = 0 + -115 Combine like terms: 0 + -115 = -115 -8b + b2 = -115 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 = -115 + 16 Reorder the terms: 16 + -8b + b2 = -115 + 16 Combine like terms: -115 + 16 = -99 16 + -8b + b2 = -99 Factor a perfect square on the left side: (b + -4)(b + -4) = -99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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