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Simplifying -1b(b + -2) = 10 Reorder the terms: -1b(-2 + b) = 10 (-2 * -1b + b * -1b) = 10 (2b + -1b2) = 10 Solving 2b + -1b2 = 10 Solving for variable 'b'. Reorder the terms: -10 + 2b + -1b2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 2b + -1b2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10 + -2b + b2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -2b + -10 + b2 = 0 + -10 Reorder the terms: 10 + -10 + -2b + b2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2b + b2 = 0 + -10 -2b + b2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2b + b2 = -10 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 = -10 + 1 Reorder the terms: 1 + -2b + b2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + -2b + b2 = -9 Factor a perfect square on the left side: (b + -1)(b + -1) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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