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Simplifying b2 = 7b + -18 Reorder the terms: b2 = -18 + 7b Solving b2 = -18 + 7b Solving for variable 'b'. Reorder the terms: 18 + -7b + b2 = -18 + 7b + 18 + -7b Reorder the terms: 18 + -7b + b2 = -18 + 18 + 7b + -7b Combine like terms: -18 + 18 = 0 18 + -7b + b2 = 0 + 7b + -7b 18 + -7b + b2 = 7b + -7b Combine like terms: 7b + -7b = 0 18 + -7b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -7b + -18 + b2 = 0 + -18 Reorder the terms: 18 + -18 + -7b + b2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7b + b2 = 0 + -18 -7b + b2 = 0 + -18 Combine like terms: 0 + -18 = -18 -7b + b2 = -18 The b term is -7b. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7b + 12.25 + b2 = -18 + 12.25 Reorder the terms: 12.25 + -7b + b2 = -18 + 12.25 Combine like terms: -18 + 12.25 = -5.75 12.25 + -7b + b2 = -5.75 Factor a perfect square on the left side: (b + -3.5)(b + -3.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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