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Simplifying 9b2 + 40 = 36b Reorder the terms: 40 + 9b2 = 36b Solving 40 + 9b2 = 36b Solving for variable 'b'. Reorder the terms: 40 + -36b + 9b2 = 36b + -36b Combine like terms: 36b + -36b = 0 40 + -36b + 9b2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4.444444444 + -4b + b2 = 0 Move the constant term to the right: Add '-4.444444444' to each side of the equation. 4.444444444 + -4b + -4.444444444 + b2 = 0 + -4.444444444 Reorder the terms: 4.444444444 + -4.444444444 + -4b + b2 = 0 + -4.444444444 Combine like terms: 4.444444444 + -4.444444444 = 0.000000000 0.000000000 + -4b + b2 = 0 + -4.444444444 -4b + b2 = 0 + -4.444444444 Combine like terms: 0 + -4.444444444 = -4.444444444 -4b + b2 = -4.444444444 The b term is -4b. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4b + 4 + b2 = -4.444444444 + 4 Reorder the terms: 4 + -4b + b2 = -4.444444444 + 4 Combine like terms: -4.444444444 + 4 = -0.444444444 4 + -4b + b2 = -0.444444444 Factor a perfect square on the left side: (b + -2)(b + -2) = -0.444444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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