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Simplifying 60 + -6Q + 0.3Q2 = 0 Solving 60 + -6Q + 0.3Q2 = 0 Solving for variable 'Q'. Begin completing the square. Divide all terms by 0.3 the coefficient of the squared term: Divide each side by '0.3'. 200 + -20Q + Q2 = 0 Move the constant term to the right: Add '-200' to each side of the equation. 200 + -20Q + -200 + Q2 = 0 + -200 Reorder the terms: 200 + -200 + -20Q + Q2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -20Q + Q2 = 0 + -200 -20Q + Q2 = 0 + -200 Combine like terms: 0 + -200 = -200 -20Q + Q2 = -200 The Q term is -20Q. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20Q + 100 + Q2 = -200 + 100 Reorder the terms: 100 + -20Q + Q2 = -200 + 100 Combine like terms: -200 + 100 = -100 100 + -20Q + Q2 = -100 Factor a perfect square on the left side: (Q + -10)(Q + -10) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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