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Simplifying 2Q(Q + -10) = 0 Reorder the terms: 2Q(-10 + Q) = 0 (-10 * 2Q + Q * 2Q) = 0 (-20Q + 2Q2) = 0 Solving -20Q + 2Q2 = 0 Solving for variable 'Q'. Factor out the Greatest Common Factor (GCF), '2Q'. 2Q(-10 + Q) = 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 '(-10 + Q)' equal to zero and attempt to solve: Simplifying -10 + Q = 0 Solving -10 + Q = 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 + Q = 0 + 10 Combine like terms: -10 + 10 = 0 0 + Q = 0 + 10 Q = 0 + 10 Combine like terms: 0 + 10 = 10 Q = 10 Simplifying Q = 10Solution
Q = {0, 10}
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