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Simplifying 2b2 + b + 3 = b2 Reorder the terms: 3 + b + 2b2 = b2 Solving 3 + b + 2b2 = b2 Solving for variable 'b'. Combine like terms: 2b2 + -1b2 = 1b2 3 + b + 1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 3 + b + 1b2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + b + -3 + b2 = 0 + -3 Reorder the terms: 3 + -3 + b + b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + b + b2 = 0 + -3 b + b2 = 0 + -3 Combine like terms: 0 + -3 = -3 b + b2 = -3 The b term is b. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. b + 0.25 + b2 = -3 + 0.25 Reorder the terms: 0.25 + b + b2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + b + b2 = -2.75 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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