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Simplifying b2 + -8.5b + 36 = 0 Reorder the terms: 36 + -8.5b + b2 = 0 Solving 36 + -8.5b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -8.5b + -36 + b2 = 0 + -36 Reorder the terms: 36 + -36 + -8.5b + b2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -8.5b + b2 = 0 + -36 -8.5b + b2 = 0 + -36 Combine like terms: 0 + -36 = -36 -8.5b + b2 = -36 The b term is -8.5b. Take half its coefficient (-4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. -8.5b + 18.0625 + b2 = -36 + 18.0625 Reorder the terms: 18.0625 + -8.5b + b2 = -36 + 18.0625 Combine like terms: -36 + 18.0625 = -17.9375 18.0625 + -8.5b + b2 = -17.9375 Factor a perfect square on the left side: (b + -4.25)(b + -4.25) = -17.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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