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Simplifying 240000 = 6Q + -1Q2 Solving 240000 = 6Q + -1Q2 Solving for variable 'Q'. Reorder the terms: 240000 + -6Q + Q2 = 6Q + -6Q + -1Q2 + Q2 Combine like terms: 6Q + -6Q = 0 240000 + -6Q + Q2 = 0 + -1Q2 + Q2 240000 + -6Q + Q2 = -1Q2 + Q2 Combine like terms: -1Q2 + Q2 = 0 240000 + -6Q + Q2 = 0 Begin completing the square. Move the constant term to the right: Add '-240000' to each side of the equation. 240000 + -6Q + -240000 + Q2 = 0 + -240000 Reorder the terms: 240000 + -240000 + -6Q + Q2 = 0 + -240000 Combine like terms: 240000 + -240000 = 0 0 + -6Q + Q2 = 0 + -240000 -6Q + Q2 = 0 + -240000 Combine like terms: 0 + -240000 = -240000 -6Q + Q2 = -240000 The Q term is -6Q. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6Q + 9 + Q2 = -240000 + 9 Reorder the terms: 9 + -6Q + Q2 = -240000 + 9 Combine like terms: -240000 + 9 = -239991 9 + -6Q + Q2 = -239991 Factor a perfect square on the left side: (Q + -3)(Q + -3) = -239991 Can't calculate square root of the right side. The solution to this equation could not be determined.
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