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Simplifying b2 + 6b + 30 = 3 Reorder the terms: 30 + 6b + b2 = 3 Solving 30 + 6b + b2 = 3 Solving for variable 'b'. Reorder the terms: 30 + -3 + 6b + b2 = 3 + -3 Combine like terms: 30 + -3 = 27 27 + 6b + b2 = 3 + -3 Combine like terms: 3 + -3 = 0 27 + 6b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + 6b + -27 + b2 = 0 + -27 Reorder the terms: 27 + -27 + 6b + b2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6b + b2 = 0 + -27 6b + b2 = 0 + -27 Combine like terms: 0 + -27 = -27 6b + b2 = -27 The b term is 6b. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6b + 9 + b2 = -27 + 9 Reorder the terms: 9 + 6b + b2 = -27 + 9 Combine like terms: -27 + 9 = -18 9 + 6b + b2 = -18 Factor a perfect square on the left side: (b + 3)(b + 3) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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