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Simplifying -4Q2 + 11Q + -6 = (3 + -4Q)(Q + 2) Reorder the terms: -6 + 11Q + -4Q2 = (3 + -4Q)(Q + 2) Reorder the terms: -6 + 11Q + -4Q2 = (3 + -4Q)(2 + Q) Multiply (3 + -4Q) * (2 + Q) -6 + 11Q + -4Q2 = (3(2 + Q) + -4Q * (2 + Q)) -6 + 11Q + -4Q2 = ((2 * 3 + Q * 3) + -4Q * (2 + Q)) -6 + 11Q + -4Q2 = ((6 + 3Q) + -4Q * (2 + Q)) -6 + 11Q + -4Q2 = (6 + 3Q + (2 * -4Q + Q * -4Q)) -6 + 11Q + -4Q2 = (6 + 3Q + (-8Q + -4Q2)) Combine like terms: 3Q + -8Q = -5Q -6 + 11Q + -4Q2 = (6 + -5Q + -4Q2) Add '4Q2' to each side of the equation. -6 + 11Q + -4Q2 + 4Q2 = 6 + -5Q + -4Q2 + 4Q2 Combine like terms: -4Q2 + 4Q2 = 0 -6 + 11Q + 0 = 6 + -5Q + -4Q2 + 4Q2 -6 + 11Q = 6 + -5Q + -4Q2 + 4Q2 Combine like terms: -4Q2 + 4Q2 = 0 -6 + 11Q = 6 + -5Q + 0 -6 + 11Q = 6 + -5Q Solving -6 + 11Q = 6 + -5Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '5Q' to each side of the equation. -6 + 11Q + 5Q = 6 + -5Q + 5Q Combine like terms: 11Q + 5Q = 16Q -6 + 16Q = 6 + -5Q + 5Q Combine like terms: -5Q + 5Q = 0 -6 + 16Q = 6 + 0 -6 + 16Q = 6 Add '6' to each side of the equation. -6 + 6 + 16Q = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 16Q = 6 + 6 16Q = 6 + 6 Combine like terms: 6 + 6 = 12 16Q = 12 Divide each side by '16'. Q = 0.75 Simplifying Q = 0.75
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