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Simplifying p2q + -8pq + 6pq2 = 0 Reorder the terms: -8pq + 6pq2 + p2q = 0 Solving -8pq + 6pq2 + p2q = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'pq'. pq(-8 + 6q + p) = 0Subproblem 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 '(-8 + 6q + p)' equal to zero and attempt to solve: Simplifying -8 + 6q + p = 0 Reorder the terms: -8 + p + 6q = 0 Solving -8 + p + 6q = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + p + 8 + 6q = 0 + 8 Reorder the terms: -8 + 8 + p + 6q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + p + 6q = 0 + 8 p + 6q = 0 + 8 Combine like terms: 0 + 8 = 8 p + 6q = 8 Add '-6q' to each side of the equation. p + 6q + -6q = 8 + -6q Combine like terms: 6q + -6q = 0 p + 0 = 8 + -6q p = 8 + -6q Simplifying p = 8 + -6qSolution
p = {8 + -6q}
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