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Simplifying -2q3 + 100q2 = 0 Reorder the terms: 100q2 + -2q3 = 0 Solving 100q2 + -2q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2q2'. 2q2(50 + -1q) = 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 + -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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