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Simplifying Q = 1200 + 2Q2 Solving Q = 1200 + 2Q2 Solving for variable 'Q'. Reorder the terms: -1200 + Q + -2Q2 = 1200 + 2Q2 + -1200 + -2Q2 Reorder the terms: -1200 + Q + -2Q2 = 1200 + -1200 + 2Q2 + -2Q2 Combine like terms: 1200 + -1200 = 0 -1200 + Q + -2Q2 = 0 + 2Q2 + -2Q2 -1200 + Q + -2Q2 = 2Q2 + -2Q2 Combine like terms: 2Q2 + -2Q2 = 0 -1200 + Q + -2Q2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 600 + -0.5Q + Q2 = 0 Move the constant term to the right: Add '-600' to each side of the equation. 600 + -0.5Q + -600 + Q2 = 0 + -600 Reorder the terms: 600 + -600 + -0.5Q + Q2 = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -0.5Q + Q2 = 0 + -600 -0.5Q + Q2 = 0 + -600 Combine like terms: 0 + -600 = -600 -0.5Q + Q2 = -600 The Q term is Q. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.5Q + 0.25 + Q2 = -600 + 0.25 Reorder the terms: 0.25 + -0.5Q + Q2 = -600 + 0.25 Combine like terms: -600 + 0.25 = -599.75 0.25 + -0.5Q + Q2 = -599.75 Factor a perfect square on the left side: (Q + 0.5)(Q + 0.5) = -599.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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