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Simplifying 0 = b2 + -8b + 112 Reorder the terms: 0 = 112 + -8b + b2 Solving 0 = 112 + -8b + b2 Solving for variable 'b'. Combine like terms: 0 + -112 = -112 -112 + 8b + -1b2 = 112 + -8b + b2 + -112 + 8b + -1b2 Reorder the terms: -112 + 8b + -1b2 = 112 + -112 + -8b + 8b + b2 + -1b2 Combine like terms: 112 + -112 = 0 -112 + 8b + -1b2 = 0 + -8b + 8b + b2 + -1b2 -112 + 8b + -1b2 = -8b + 8b + b2 + -1b2 Combine like terms: -8b + 8b = 0 -112 + 8b + -1b2 = 0 + b2 + -1b2 -112 + 8b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -112 + 8b + -1b2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 112 + -8b + b2 = 0 Move the constant term to the right: Add '-112' to each side of the equation. 112 + -8b + -112 + b2 = 0 + -112 Reorder the terms: 112 + -112 + -8b + b2 = 0 + -112 Combine like terms: 112 + -112 = 0 0 + -8b + b2 = 0 + -112 -8b + b2 = 0 + -112 Combine like terms: 0 + -112 = -112 -8b + b2 = -112 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 = -112 + 16 Reorder the terms: 16 + -8b + b2 = -112 + 16 Combine like terms: -112 + 16 = -96 16 + -8b + b2 = -96 Factor a perfect square on the left side: (b + -4)(b + -4) = -96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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