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Simplifying 40Q + -2Q2 = 2Q Solving 40Q + -2Q2 = 2Q Solving for variable 'Q'. Reorder the terms: 40Q + -2Q + -2Q2 = 2Q + -2Q Combine like terms: 40Q + -2Q = 38Q 38Q + -2Q2 = 2Q + -2Q Combine like terms: 2Q + -2Q = 0 38Q + -2Q2 = 0 Factor out the Greatest Common Factor (GCF), '2Q'. 2Q(19 + -1Q) = 0 Ignore the factor 2.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 + -1Q)' equal to zero and attempt to solve: Simplifying 19 + -1Q = 0 Solving 19 + -1Q = 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 + -1Q = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1Q = 0 + -19 -1Q = 0 + -19 Combine like terms: 0 + -19 = -19 -1Q = -19 Divide each side by '-1'. Q = 19 Simplifying Q = 19Solution
Q = {0, 19}
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