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Simplifying 0.054Q2 + -2.2Q + 23 = 0 Reorder the terms: 23 + -2.2Q + 0.054Q2 = 0 Solving 23 + -2.2Q + 0.054Q2 = 0 Solving for variable 'Q'. Begin completing the square. Divide all terms by 0.054 the coefficient of the squared term: Divide each side by '0.054'. 425.9259259 + -40.74074074Q + Q2 = 0 Move the constant term to the right: Add '-425.9259259' to each side of the equation. 425.9259259 + -40.74074074Q + -425.9259259 + Q2 = 0 + -425.9259259 Reorder the terms: 425.9259259 + -425.9259259 + -40.74074074Q + Q2 = 0 + -425.9259259 Combine like terms: 425.9259259 + -425.9259259 = 0.0000000 0.0000000 + -40.74074074Q + Q2 = 0 + -425.9259259 -40.74074074Q + Q2 = 0 + -425.9259259 Combine like terms: 0 + -425.9259259 = -425.9259259 -40.74074074Q + Q2 = -425.9259259 The Q term is -40.74074074Q. Take half its coefficient (-20.37037037). Square it (414.9519890) and add it to both sides. Add '414.9519890' to each side of the equation. -40.74074074Q + 414.9519890 + Q2 = -425.9259259 + 414.9519890 Reorder the terms: 414.9519890 + -40.74074074Q + Q2 = -425.9259259 + 414.9519890 Combine like terms: -425.9259259 + 414.9519890 = -10.9739369 414.9519890 + -40.74074074Q + Q2 = -10.9739369 Factor a perfect square on the left side: (Q + -20.37037037)(Q + -20.37037037) = -10.9739369 Can't calculate square root of the right side. The solution to this equation could not be determined.
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