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Simplifying 18n2 + -25n + 22 = 0 Reorder the terms: 22 + -25n + 18n2 = 0 Solving 22 + -25n + 18n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.222222222 + -1.388888889n + n2 = 0 Move the constant term to the right: Add '-1.222222222' to each side of the equation. 1.222222222 + -1.388888889n + -1.222222222 + n2 = 0 + -1.222222222 Reorder the terms: 1.222222222 + -1.222222222 + -1.388888889n + n2 = 0 + -1.222222222 Combine like terms: 1.222222222 + -1.222222222 = 0.000000000 0.000000000 + -1.388888889n + n2 = 0 + -1.222222222 -1.388888889n + n2 = 0 + -1.222222222 Combine like terms: 0 + -1.222222222 = -1.222222222 -1.388888889n + n2 = -1.222222222 The n term is -1.388888889n. Take half its coefficient (-0.6944444445). Square it (0.4822530865) and add it to both sides. Add '0.4822530865' to each side of the equation. -1.388888889n + 0.4822530865 + n2 = -1.222222222 + 0.4822530865 Reorder the terms: 0.4822530865 + -1.388888889n + n2 = -1.222222222 + 0.4822530865 Combine like terms: -1.222222222 + 0.4822530865 = -0.7399691355 0.4822530865 + -1.388888889n + n2 = -0.7399691355 Factor a perfect square on the left side: (n + -0.6944444445)(n + -0.6944444445) = -0.7399691355 Can't calculate square root of the right side. The solution to this equation could not be determined.
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