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Simplifying -300 + 3Q = Q2 Solving -300 + 3Q = Q2 Solving for variable 'Q'. Combine like terms: Q2 + -1Q2 = 0 -300 + 3Q + -1Q2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 300 + -3Q + Q2 = 0 Move the constant term to the right: Add '-300' to each side of the equation. 300 + -3Q + -300 + Q2 = 0 + -300 Reorder the terms: 300 + -300 + -3Q + Q2 = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -3Q + Q2 = 0 + -300 -3Q + Q2 = 0 + -300 Combine like terms: 0 + -300 = -300 -3Q + Q2 = -300 The Q term is -3Q. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3Q + 2.25 + Q2 = -300 + 2.25 Reorder the terms: 2.25 + -3Q + Q2 = -300 + 2.25 Combine like terms: -300 + 2.25 = -297.75 2.25 + -3Q + Q2 = -297.75 Factor a perfect square on the left side: (Q + -1.5)(Q + -1.5) = -297.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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