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Simplifying 11 = 18x + -9x2 Solving 11 = 18x + -9x2 Solving for variable 'x'. Reorder the terms: 11 + -18x + 9x2 = 18x + -18x + -9x2 + 9x2 Combine like terms: 18x + -18x = 0 11 + -18x + 9x2 = 0 + -9x2 + 9x2 11 + -18x + 9x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 11 + -18x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.222222222 + -2x + x2 = 0 Move the constant term to the right: Add '-1.222222222' to each side of the equation. 1.222222222 + -2x + -1.222222222 + x2 = 0 + -1.222222222 Reorder the terms: 1.222222222 + -1.222222222 + -2x + x2 = 0 + -1.222222222 Combine like terms: 1.222222222 + -1.222222222 = 0.000000000 0.000000000 + -2x + x2 = 0 + -1.222222222 -2x + x2 = 0 + -1.222222222 Combine like terms: 0 + -1.222222222 = -1.222222222 -2x + x2 = -1.222222222 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -1.222222222 + 1 Reorder the terms: 1 + -2x + x2 = -1.222222222 + 1 Combine like terms: -1.222222222 + 1 = -0.222222222 1 + -2x + x2 = -0.222222222 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.222222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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