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Simplifying 40q + -2q2 = 0 Solving 40q + -2q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2q'. 2q(20 + -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 '(20 + -1q)' equal to zero and attempt to solve: Simplifying 20 + -1q = 0 Solving 20 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1q = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1q = 0 + -20 -1q = 0 + -20 Combine like terms: 0 + -20 = -20 -1q = -20 Divide each side by '-1'. q = 20 Simplifying q = 20Solution
q = {0, 20}
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