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Simplifying p2 = 5pq Solving p2 = 5pq Solving for variable 'p'. Reorder the terms: -5pq + p2 = 5pq + -5pq Combine like terms: 5pq + -5pq = 0 -5pq + p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-5q + p) = 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 '(-5q + p)' equal to zero and attempt to solve: Simplifying -5q + p = 0 Reorder the terms: p + -5q = 0 Solving p + -5q = 0 Move all terms containing p to the left, all other terms to the right. Add '5q' to each side of the equation. p + -5q + 5q = 0 + 5q Combine like terms: -5q + 5q = 0 p + 0 = 0 + 5q p = 0 + 5q Remove the zero: p = 5q Simplifying p = 5qSolution
p = {0, 5q}
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