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Simplifying p2 + 20pq + 50pq2 = 0 Reorder the terms: 20pq + 50pq2 + p2 = 0 Solving 20pq + 50pq2 + p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(20q + 50q2 + 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 '(20q + 50q2 + p)' equal to zero and attempt to solve: Simplifying 20q + 50q2 + p = 0 Reorder the terms: p + 20q + 50q2 = 0 Solving p + 20q + 50q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-20q' to each side of the equation. p + 20q + -20q + 50q2 = 0 + -20q Combine like terms: 20q + -20q = 0 p + 0 + 50q2 = 0 + -20q p + 50q2 = 0 + -20q Remove the zero: p + 50q2 = -20q Add '-50q2' to each side of the equation. p + 50q2 + -50q2 = -20q + -50q2 Combine like terms: 50q2 + -50q2 = 0 p + 0 = -20q + -50q2 p = -20q + -50q2 Simplifying p = -20q + -50q2Solution
p = {0, -20q + -50q2}
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