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Simplifying (4b + 7) + (b2 + -3b + 8) = 0 Reorder the terms: (7 + 4b) + (b2 + -3b + 8) = 0 Remove parenthesis around (7 + 4b) 7 + 4b + (b2 + -3b + 8) = 0 Reorder the terms: 7 + 4b + (8 + -3b + b2) = 0 Remove parenthesis around (8 + -3b + b2) 7 + 4b + 8 + -3b + b2 = 0 Reorder the terms: 7 + 8 + 4b + -3b + b2 = 0 Combine like terms: 7 + 8 = 15 15 + 4b + -3b + b2 = 0 Combine like terms: 4b + -3b = 1b 15 + 1b + b2 = 0 Solving 15 + 1b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 1b + -15 + b2 = 0 + -15 Reorder the terms: 15 + -15 + 1b + b2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1b + b2 = 0 + -15 1b + b2 = 0 + -15 Combine like terms: 0 + -15 = -15 1b + b2 = -15 The b term is 1b. 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 = -15 + 0.25 Reorder the terms: 0.25 + b + b2 = -15 + 0.25 Combine like terms: -15 + 0.25 = -14.75 0.25 + b + b2 = -14.75 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -14.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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