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Simplifying b(b + -4) = -15 + b Reorder the terms: b(-4 + b) = -15 + b (-4 * b + b * b) = -15 + b (-4b + b2) = -15 + b Solving -4b + b2 = -15 + b Solving for variable 'b'. Reorder the terms: 15 + -4b + -1b + b2 = -15 + b + 15 + -1b Combine like terms: -4b + -1b = -5b 15 + -5b + b2 = -15 + b + 15 + -1b Reorder the terms: 15 + -5b + b2 = -15 + 15 + b + -1b Combine like terms: -15 + 15 = 0 15 + -5b + b2 = 0 + b + -1b 15 + -5b + b2 = b + -1b Combine like terms: b + -1b = 0 15 + -5b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -5b + -15 + b2 = 0 + -15 Reorder the terms: 15 + -15 + -5b + b2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5b + b2 = 0 + -15 -5b + b2 = 0 + -15 Combine like terms: 0 + -15 = -15 -5b + b2 = -15 The b term is -5b. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5b + 6.25 + b2 = -15 + 6.25 Reorder the terms: 6.25 + -5b + b2 = -15 + 6.25 Combine like terms: -15 + 6.25 = -8.75 6.25 + -5b + b2 = -8.75 Factor a perfect square on the left side: (b + -2.5)(b + -2.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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