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Simplifying 9b2 + -18b + 45 = 7 Reorder the terms: 45 + -18b + 9b2 = 7 Solving 45 + -18b + 9b2 = 7 Solving for variable 'b'. Reorder the terms: 45 + -7 + -18b + 9b2 = 7 + -7 Combine like terms: 45 + -7 = 38 38 + -18b + 9b2 = 7 + -7 Combine like terms: 7 + -7 = 0 38 + -18b + 9b2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4.222222222 + -2b + b2 = 0 Move the constant term to the right: Add '-4.222222222' to each side of the equation. 4.222222222 + -2b + -4.222222222 + b2 = 0 + -4.222222222 Reorder the terms: 4.222222222 + -4.222222222 + -2b + b2 = 0 + -4.222222222 Combine like terms: 4.222222222 + -4.222222222 = 0.000000000 0.000000000 + -2b + b2 = 0 + -4.222222222 -2b + b2 = 0 + -4.222222222 Combine like terms: 0 + -4.222222222 = -4.222222222 -2b + b2 = -4.222222222 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 = -4.222222222 + 1 Reorder the terms: 1 + -2b + b2 = -4.222222222 + 1 Combine like terms: -4.222222222 + 1 = -3.222222222 1 + -2b + b2 = -3.222222222 Factor a perfect square on the left side: (b + -1)(b + -1) = -3.222222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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