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Simplifying 5q3 + -15qr + -5q = 0 Reorder the terms: -5q + -15qr + 5q3 = 0 Solving -5q + -15qr + 5q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '5q'. 5q(-1 + -3r + q2) = 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 '(-1 + -3r + q2)' equal to zero and attempt to solve: Simplifying -1 + -3r + q2 = 0 Reorder the terms: -1 + q2 + -3r = 0 Solving -1 + q2 + -3r = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + q2 + 1 + -3r = 0 + 1 Reorder the terms: -1 + 1 + q2 + -3r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + q2 + -3r = 0 + 1 q2 + -3r = 0 + 1 Combine like terms: 0 + 1 = 1 q2 + -3r = 1 Add '3r' to each side of the equation. q2 + -3r + 3r = 1 + 3r Combine like terms: -3r + 3r = 0 q2 + 0 = 1 + 3r q2 = 1 + 3r Simplifying q2 = 1 + 3r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
q = {0}
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