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Simplifying (2p + -3q)(2p + -3p) = 0 Combine like terms: 2p + -3p = -1p (2p + -3q)(-1p) = 0 Remove parenthesis around (-1p) (2p + -3q) * -1p = 0 Reorder the terms for easier multiplication: -1p(2p + -3q) = 0 (2p * -1p + -3q * -1p) = 0 Reorder the terms: (3pq + -2p2) = 0 (3pq + -2p2) = 0 Solving 3pq + -2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(3q + -2p) = 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 '(3q + -2p)' equal to zero and attempt to solve: Simplifying 3q + -2p = 0 Reorder the terms: -2p + 3q = 0 Solving -2p + 3q = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. -2p + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 -2p + 0 = 0 + -3q -2p = 0 + -3q Remove the zero: -2p = -3q Divide each side by '-2'. p = 1.5q Simplifying p = 1.5qSolution
p = {0, 1.5q}
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