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Simplifying 10q2 + -15qr = 0 Reorder the terms: -15qr + 10q2 = 0 Solving -15qr + 10q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '5q'. 5q(-3r + 2q) = 0 Ignore the factor 5.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 '(-3r + 2q)' equal to zero and attempt to solve: Simplifying -3r + 2q = 0 Reorder the terms: 2q + -3r = 0 Solving 2q + -3r = 0 Move all terms containing q to the left, all other terms to the right. Add '3r' to each side of the equation. 2q + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 2q + 0 = 0 + 3r 2q = 0 + 3r Remove the zero: 2q = 3r Divide each side by '2'. q = 1.5r Simplifying q = 1.5rSolution
q = {0, 1.5r}
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