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Simplifying 4Q(3P + Q + 5) = 0 Reorder the terms: 4Q(5 + 3P + Q) = 0 (5 * 4Q + 3P * 4Q + Q * 4Q) = 0 Reorder the terms: (12PQ + 20Q + 4Q2) = 0 (12PQ + 20Q + 4Q2) = 0 Solving 12PQ + 20Q + 4Q2 = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-20Q' to each side of the equation. 12PQ + 20Q + -20Q + 4Q2 = 0 + -20Q Combine like terms: 20Q + -20Q = 0 12PQ + 0 + 4Q2 = 0 + -20Q 12PQ + 4Q2 = 0 + -20Q Remove the zero: 12PQ + 4Q2 = -20Q Add '-4Q2' to each side of the equation. 12PQ + 4Q2 + -4Q2 = -20Q + -4Q2 Combine like terms: 4Q2 + -4Q2 = 0 12PQ + 0 = -20Q + -4Q2 12PQ = -20Q + -4Q2 Divide each side by '12Q'. P = -1.666666667 + -0.3333333333Q Simplifying P = -1.666666667 + -0.3333333333Q
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