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Simplifying b + -1b2 = 2.25 Solving b + -1b2 = 2.25 Solving for variable 'b'. Reorder the terms: -2.25 + b + -1b2 = 2.25 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + b + -1b2 = 0.00 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 2.25 + -1b + b2 = 0.00 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -1b + -2.25 + b2 = 0.00 + -2.25 Reorder the terms: 2.25 + -2.25 + -1b + b2 = 0.00 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -1b + b2 = 0.00 + -2.25 -1b + b2 = 0.00 + -2.25 Combine like terms: 0.00 + -2.25 = -2.25 -1b + b2 = -2.25 The b term is b. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1b + 0.25 + b2 = -2.25 + 0.25 Reorder the terms: 0.25 + -1b + b2 = -2.25 + 0.25 Combine like terms: -2.25 + 0.25 = -2 0.25 + -1b + b2 = -2 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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