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Simplifying 9b2 + -26b = -100 Reorder the terms: -26b + 9b2 = -100 Solving -26b + 9b2 = -100 Solving for variable 'b'. Reorder the terms: 100 + -26b + 9b2 = -100 + 100 Combine like terms: -100 + 100 = 0 100 + -26b + 9b2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 11.11111111 + -2.888888889b + b2 = 0 Move the constant term to the right: Add '-11.11111111' to each side of the equation. 11.11111111 + -2.888888889b + -11.11111111 + b2 = 0 + -11.11111111 Reorder the terms: 11.11111111 + -11.11111111 + -2.888888889b + b2 = 0 + -11.11111111 Combine like terms: 11.11111111 + -11.11111111 = 0.00000000 0.00000000 + -2.888888889b + b2 = 0 + -11.11111111 -2.888888889b + b2 = 0 + -11.11111111 Combine like terms: 0 + -11.11111111 = -11.11111111 -2.888888889b + b2 = -11.11111111 The b term is -2.888888889b. Take half its coefficient (-1.444444445). Square it (2.086419755) and add it to both sides. Add '2.086419755' to each side of the equation. -2.888888889b + 2.086419755 + b2 = -11.11111111 + 2.086419755 Reorder the terms: 2.086419755 + -2.888888889b + b2 = -11.11111111 + 2.086419755 Combine like terms: -11.11111111 + 2.086419755 = -9.024691355 2.086419755 + -2.888888889b + b2 = -9.024691355 Factor a perfect square on the left side: (b + -1.444444445)(b + -1.444444445) = -9.024691355 Can't calculate square root of the right side. The solution to this equation could not be determined.
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