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Simplifying b2 + 10b + 42 = 0 Reorder the terms: 42 + 10b + b2 = 0 Solving 42 + 10b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + 10b + -42 + b2 = 0 + -42 Reorder the terms: 42 + -42 + 10b + b2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 10b + b2 = 0 + -42 10b + b2 = 0 + -42 Combine like terms: 0 + -42 = -42 10b + b2 = -42 The b term is 10b. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10b + 25 + b2 = -42 + 25 Reorder the terms: 25 + 10b + b2 = -42 + 25 Combine like terms: -42 + 25 = -17 25 + 10b + b2 = -17 Factor a perfect square on the left side: (b + 5)(b + 5) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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