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Simplifying p + -8pq + -6qp + 2p = 0 Reorder the terms: p + 2p + -8pq + -6pq = 0 Combine like terms: p + 2p = 3p 3p + -8pq + -6pq = 0 Combine like terms: -8pq + -6pq = -14pq 3p + -14pq = 0 Solving 3p + -14pq = 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(3 + -14q) = 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 '(3 + -14q)' equal to zero and attempt to solve: Simplifying 3 + -14q = 0 Solving 3 + -14q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -14q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -14q = 0 + -3 -14q = 0 + -3 Combine like terms: 0 + -3 = -3 -14q = -3 Add '14q' to each side of the equation. -14q + 14q = -3 + 14q Combine like terms: -14q + 14q = 0 0 = -3 + 14q Simplifying 0 = -3 + 14q 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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