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Simplifying b2 + 2b = -20 Reorder the terms: 2b + b2 = -20 Solving 2b + b2 = -20 Solving for variable 'b'. Reorder the terms: 20 + 2b + b2 = -20 + 20 Combine like terms: -20 + 20 = 0 20 + 2b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 2b + -20 + b2 = 0 + -20 Reorder the terms: 20 + -20 + 2b + b2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2b + b2 = 0 + -20 2b + b2 = 0 + -20 Combine like terms: 0 + -20 = -20 2b + b2 = -20 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 = -20 + 1 Reorder the terms: 1 + 2b + b2 = -20 + 1 Combine like terms: -20 + 1 = -19 1 + 2b + b2 = -19 Factor a perfect square on the left side: (b + 1)(b + 1) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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