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Simplifying 1000 + 10Q2 + Q + 2Q2 = 0 Reorder the terms: 1000 + Q + 10Q2 + 2Q2 = 0 Combine like terms: 10Q2 + 2Q2 = 12Q2 1000 + Q + 12Q2 = 0 Solving 1000 + Q + 12Q2 = 0 Solving for variable 'Q'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 83.33333333 + 0.08333333333Q + Q2 = 0 Move the constant term to the right: Add '-83.33333333' to each side of the equation. 83.33333333 + 0.08333333333Q + -83.33333333 + Q2 = 0 + -83.33333333 Reorder the terms: 83.33333333 + -83.33333333 + 0.08333333333Q + Q2 = 0 + -83.33333333 Combine like terms: 83.33333333 + -83.33333333 = 0.00000000 0.00000000 + 0.08333333333Q + Q2 = 0 + -83.33333333 0.08333333333Q + Q2 = 0 + -83.33333333 Combine like terms: 0 + -83.33333333 = -83.33333333 0.08333333333Q + Q2 = -83.33333333 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. 0.08333333333Q + 0.25 + Q2 = -83.33333333 + 0.25 Reorder the terms: 0.25 + 0.08333333333Q + Q2 = -83.33333333 + 0.25 Combine like terms: -83.33333333 + 0.25 = -83.08333333 0.25 + 0.08333333333Q + Q2 = -83.08333333 Factor a perfect square on the left side: (Q + 0.5)(Q + 0.5) = -83.08333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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