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Simplifying p + q + 2pq + -1q + 3qp = 0 Reorder the terms: p + 2pq + 3pq + q + -1q = 0 Combine like terms: 2pq + 3pq = 5pq p + 5pq + q + -1q = 0 Combine like terms: q + -1q = 0 p + 5pq + 0 = 0 p + 5pq = 0 Solving p + 5pq = 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), 'p'. p(1 + 5q) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(1 + 5q)' equal to zero and attempt to solve: Simplifying 1 + 5q = 0 Solving 1 + 5q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5q = 0 + -1 5q = 0 + -1 Combine like terms: 0 + -1 = -1 5q = -1 Add '-5q' to each side of the equation. 5q + -5q = -1 + -5q Combine like terms: 5q + -5q = 0 0 = -1 + -5q Simplifying 0 = -1 + -5q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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