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Simplifying (4b + 7) + (b2 + -2b + 9) = 0 Reorder the terms: (7 + 4b) + (b2 + -2b + 9) = 0 Remove parenthesis around (7 + 4b) 7 + 4b + (b2 + -2b + 9) = 0 Reorder the terms: 7 + 4b + (9 + -2b + b2) = 0 Remove parenthesis around (9 + -2b + b2) 7 + 4b + 9 + -2b + b2 = 0 Reorder the terms: 7 + 9 + 4b + -2b + b2 = 0 Combine like terms: 7 + 9 = 16 16 + 4b + -2b + b2 = 0 Combine like terms: 4b + -2b = 2b 16 + 2b + b2 = 0 Solving 16 + 2b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 2b + -16 + b2 = 0 + -16 Reorder the terms: 16 + -16 + 2b + b2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2b + b2 = 0 + -16 2b + b2 = 0 + -16 Combine like terms: 0 + -16 = -16 2b + b2 = -16 The b term is 2b. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2b + 1 + b2 = -16 + 1 Reorder the terms: 1 + 2b + b2 = -16 + 1 Combine like terms: -16 + 1 = -15 1 + 2b + b2 = -15 Factor a perfect square on the left side: (b + 1)(b + 1) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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