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Simplifying 54 + 3b + 1b2 = 0 Solving 54 + 3b + 1b2 = 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 + 3b + -54 + b2 = 0 + -54 Reorder the terms: 54 + -54 + 3b + b2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 3b + b2 = 0 + -54 3b + b2 = 0 + -54 Combine like terms: 0 + -54 = -54 3b + b2 = -54 The b term is 3b. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3b + 2.25 + b2 = -54 + 2.25 Reorder the terms: 2.25 + 3b + b2 = -54 + 2.25 Combine like terms: -54 + 2.25 = -51.75 2.25 + 3b + b2 = -51.75 Factor a perfect square on the left side: (b + 1.5)(b + 1.5) = -51.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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