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Simplifying 6pq(3p2 + 4q) = 0 (3p2 * 6pq + 4q * 6pq) = 0 Reorder the terms: (24pq2 + 18p3q) = 0 (24pq2 + 18p3q) = 0 Solving 24pq2 + 18p3q = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '6pq'. 6pq(4q + 3p2) = 0 Ignore the factor 6.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 '(4q + 3p2)' equal to zero and attempt to solve: Simplifying 4q + 3p2 = 0 Reorder the terms: 3p2 + 4q = 0 Solving 3p2 + 4q = 0 Move all terms containing p to the left, all other terms to the right. Add '-4q' to each side of the equation. 3p2 + 4q + -4q = 0 + -4q Combine like terms: 4q + -4q = 0 3p2 + 0 = 0 + -4q 3p2 = 0 + -4q Remove the zero: 3p2 = -4q Divide each side by '3'. p2 = -1.333333333q Simplifying p2 = -1.333333333q 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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