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Simplifying b2 + 5b = -36 Reorder the terms: 5b + b2 = -36 Solving 5b + b2 = -36 Solving for variable 'b'. Reorder the terms: 36 + 5b + b2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 5b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + 5b + -36 + b2 = 0 + -36 Reorder the terms: 36 + -36 + 5b + b2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 5b + b2 = 0 + -36 5b + b2 = 0 + -36 Combine like terms: 0 + -36 = -36 5b + b2 = -36 The b term is 5b. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5b + 6.25 + b2 = -36 + 6.25 Reorder the terms: 6.25 + 5b + b2 = -36 + 6.25 Combine like terms: -36 + 6.25 = -29.75 6.25 + 5b + b2 = -29.75 Factor a perfect square on the left side: (b + 2.5)(b + 2.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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