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Simplifying Q = 3Q2 + 20Q Reorder the terms: Q = 20Q + 3Q2 Solving Q = 20Q + 3Q2 Solving for variable 'Q'. Combine like terms: Q + -20Q = -19Q -19Q + -3Q2 = 20Q + 3Q2 + -20Q + -3Q2 Reorder the terms: -19Q + -3Q2 = 20Q + -20Q + 3Q2 + -3Q2 Combine like terms: 20Q + -20Q = 0 -19Q + -3Q2 = 0 + 3Q2 + -3Q2 -19Q + -3Q2 = 3Q2 + -3Q2 Combine like terms: 3Q2 + -3Q2 = 0 -19Q + -3Q2 = 0 Factor out the Greatest Common Factor (GCF), '-1Q'. -1Q(19 + 3Q) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'Q' equal to zero and attempt to solve: Simplifying Q = 0 Solving Q = 0 Move all terms containing Q to the left, all other terms to the right. Simplifying Q = 0Subproblem 2
Set the factor '(19 + 3Q)' equal to zero and attempt to solve: Simplifying 19 + 3Q = 0 Solving 19 + 3Q = 0 Move all terms containing Q to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3Q = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3Q = 0 + -19 3Q = 0 + -19 Combine like terms: 0 + -19 = -19 3Q = -19 Divide each side by '3'. Q = -6.333333333 Simplifying Q = -6.333333333Solution
Q = {0, -6.333333333}
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