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Simplifying (2p + -3)(6q + 5) = 0 Reorder the terms: (-3 + 2p)(6q + 5) = 0 Reorder the terms: (-3 + 2p)(5 + 6q) = 0 Multiply (-3 + 2p) * (5 + 6q) (-3(5 + 6q) + 2p * (5 + 6q)) = 0 ((5 * -3 + 6q * -3) + 2p * (5 + 6q)) = 0 ((-15 + -18q) + 2p * (5 + 6q)) = 0 (-15 + -18q + (5 * 2p + 6q * 2p)) = 0 (-15 + -18q + (10p + 12pq)) = 0 Reorder the terms: (-15 + 10p + 12pq + -18q) = 0 (-15 + 10p + 12pq + -18q) = 0 Solving -15 + 10p + 12pq + -18q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 10p + 12pq + 15 + -18q = 0 + 15 Reorder the terms: -15 + 15 + 10p + 12pq + -18q = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 10p + 12pq + -18q = 0 + 15 10p + 12pq + -18q = 0 + 15 Combine like terms: 0 + 15 = 15 10p + 12pq + -18q = 15 Add '18q' to each side of the equation. 10p + 12pq + -18q + 18q = 15 + 18q Combine like terms: -18q + 18q = 0 10p + 12pq + 0 = 15 + 18q 10p + 12pq = 15 + 18q Reorder the terms: -15 + 10p + 12pq + -18q = 15 + 18q + -15 + -18q Reorder the terms: -15 + 10p + 12pq + -18q = 15 + -15 + 18q + -18q Combine like terms: 15 + -15 = 0 -15 + 10p + 12pq + -18q = 0 + 18q + -18q -15 + 10p + 12pq + -18q = 18q + -18q Combine like terms: 18q + -18q = 0 -15 + 10p + 12pq + -18q = 0 The solution to this equation could not be determined.
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