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Simplifying 1.5Q2 + -8Q + 12 = 0 Reorder the terms: 12 + -8Q + 1.5Q2 = 0 Solving 12 + -8Q + 1.5Q2 = 0 Solving for variable 'Q'. Begin completing the square. Divide all terms by 1.5 the coefficient of the squared term: Divide each side by '1.5'. 8 + -5.333333333Q + Q2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5.333333333Q + -8 + Q2 = 0 + -8 Reorder the terms: 8 + -8 + -5.333333333Q + Q2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5.333333333Q + Q2 = 0 + -8 -5.333333333Q + Q2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5.333333333Q + Q2 = -8 The Q term is -5.333333333Q. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333Q + 7.111111113 + Q2 = -8 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333Q + Q2 = -8 + 7.111111113 Combine like terms: -8 + 7.111111113 = -0.888888887 7.111111113 + -5.333333333Q + Q2 = -0.888888887 Factor a perfect square on the left side: (Q + -2.666666667)(Q + -2.666666667) = -0.888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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