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Simplifying b2 = -7 + -2b Solving b2 = -7 + -2b Solving for variable 'b'. Reorder the terms: 7 + 2b + b2 = -7 + -2b + 7 + 2b Reorder the terms: 7 + 2b + b2 = -7 + 7 + -2b + 2b Combine like terms: -7 + 7 = 0 7 + 2b + b2 = 0 + -2b + 2b 7 + 2b + b2 = -2b + 2b Combine like terms: -2b + 2b = 0 7 + 2b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 2b + -7 + b2 = 0 + -7 Reorder the terms: 7 + -7 + 2b + b2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2b + b2 = 0 + -7 2b + b2 = 0 + -7 Combine like terms: 0 + -7 = -7 2b + b2 = -7 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 = -7 + 1 Reorder the terms: 1 + 2b + b2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + 2b + b2 = -6 Factor a perfect square on the left side: (b + 1)(b + 1) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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