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Simplifying 20pq3 + 24pq2 + 8pq = 0 Reorder the terms: 8pq + 24pq2 + 20pq3 = 0 Solving 8pq + 24pq2 + 20pq3 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4pq'. 4pq(2 + 6q + 5q2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'pq' equal to zero and attempt to solve: Simplifying pq = 0 Solving pq = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pq = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + 6q + 5q2)' equal to zero and attempt to solve: Simplifying 2 + 6q + 5q2 = 0 Solving 2 + 6q + 5q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6q + -2 + 5q2 = 0 + -2 Reorder the terms: 2 + -2 + 6q + 5q2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6q + 5q2 = 0 + -2 6q + 5q2 = 0 + -2 Combine like terms: 0 + -2 = -2 6q + 5q2 = -2 Add '-6q' to each side of the equation. 6q + -6q + 5q2 = -2 + -6q Combine like terms: 6q + -6q = 0 0 + 5q2 = -2 + -6q 5q2 = -2 + -6q Add '-5q2' to each side of the equation. 5q2 + -5q2 = -2 + -6q + -5q2 Combine like terms: 5q2 + -5q2 = 0 0 = -2 + -6q + -5q2 Simplifying 0 = -2 + -6q + -5q2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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