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Simplifying (5p + 3q)(5p + -3p) = 0 Combine like terms: 5p + -3p = 2p (5p + 3q)(2p) = 0 Remove parenthesis around (2p) (5p + 3q) * 2p = 0 Reorder the terms for easier multiplication: 2p(5p + 3q) = 0 (5p * 2p + 3q * 2p) = 0 Reorder the terms: (6pq + 10p2) = 0 (6pq + 10p2) = 0 Solving 6pq + 10p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(3q + 5p) = 0 Ignore the factor 2.Subproblem 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 '(3q + 5p)' equal to zero and attempt to solve: Simplifying 3q + 5p = 0 Reorder the terms: 5p + 3q = 0 Solving 5p + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. 5p + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 5p + 0 = 0 + -3q 5p = 0 + -3q Remove the zero: 5p = -3q Divide each side by '5'. p = -0.6q Simplifying p = -0.6qSolution
p = {0, -0.6q}
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