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Simplifying 2q3 = 100q2 Solving 2q3 = 100q2 Solving for variable 'q'. Reorder the terms: -100q2 + 2q3 = 100q2 + -100q2 Combine like terms: 100q2 + -100q2 = 0 -100q2 + 2q3 = 0 Factor out the Greatest Common Factor (GCF), '2q2'. 2q2(-50 + q) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'q2' equal to zero and attempt to solve: Simplifying q2 = 0 Solving q2 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q2 = 0 Take the square root of each side: q = {0}Subproblem 2
Set the factor '(-50 + q)' equal to zero and attempt to solve: Simplifying -50 + q = 0 Solving -50 + q = 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 + q = 0 + 50 Combine like terms: -50 + 50 = 0 0 + q = 0 + 50 q = 0 + 50 Combine like terms: 0 + 50 = 50 q = 50 Simplifying q = 50Solution
q = {0, 50}
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