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Simplifying b2 + 12b + 54 = 0 Reorder the terms: 54 + 12b + b2 = 0 Solving 54 + 12b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-54' to each side of the equation. 54 + 12b + -54 + b2 = 0 + -54 Reorder the terms: 54 + -54 + 12b + b2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 12b + b2 = 0 + -54 12b + b2 = 0 + -54 Combine like terms: 0 + -54 = -54 12b + b2 = -54 The b term is 12b. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12b + 36 + b2 = -54 + 36 Reorder the terms: 36 + 12b + b2 = -54 + 36 Combine like terms: -54 + 36 = -18 36 + 12b + b2 = -18 Factor a perfect square on the left side: (b + 6)(b + 6) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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