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Simplifying 100q + -2q2 = 0 Solving 100q + -2q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2q'. 2q(50 + -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 '(50 + -1q)' equal to zero and attempt to solve: Simplifying 50 + -1q = 0 Solving 50 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1q = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1q = 0 + -50 -1q = 0 + -50 Combine like terms: 0 + -50 = -50 -1q = -50 Divide each side by '-1'. q = 50 Simplifying q = 50Solution
q = {0, 50}
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