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Simplifying Q2 = 20 + -8Q Solving Q2 = 20 + -8Q Solving for variable 'Q'. Reorder the terms: -20 + 8Q + Q2 = 20 + -8Q + -20 + 8Q Reorder the terms: -20 + 8Q + Q2 = 20 + -20 + -8Q + 8Q Combine like terms: 20 + -20 = 0 -20 + 8Q + Q2 = 0 + -8Q + 8Q -20 + 8Q + Q2 = -8Q + 8Q Combine like terms: -8Q + 8Q = 0 -20 + 8Q + Q2 = 0 Factor a trinomial. (-10 + -1Q)(2 + -1Q) = 0Subproblem 1
Set the factor '(-10 + -1Q)' equal to zero and attempt to solve: Simplifying -10 + -1Q = 0 Solving -10 + -1Q = 0 Move all terms containing Q to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1Q = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1Q = 0 + 10 -1Q = 0 + 10 Combine like terms: 0 + 10 = 10 -1Q = 10 Divide each side by '-1'. Q = -10 Simplifying Q = -10Subproblem 2
Set the factor '(2 + -1Q)' equal to zero and attempt to solve: Simplifying 2 + -1Q = 0 Solving 2 + -1Q = 0 Move all terms containing Q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1Q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1Q = 0 + -2 -1Q = 0 + -2 Combine like terms: 0 + -2 = -2 -1Q = -2 Divide each side by '-1'. Q = 2 Simplifying Q = 2Solution
Q = {-10, 2}
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