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Simplifying (7p + -1q)(2 + q) = 0 Multiply (7p + -1q) * (2 + q) (7p * (2 + q) + -1q * (2 + q)) = 0 ((2 * 7p + q * 7p) + -1q * (2 + q)) = 0 ((14p + 7pq) + -1q * (2 + q)) = 0 (14p + 7pq + (2 * -1q + q * -1q)) = 0 (14p + 7pq + (-2q + -1q2)) = 0 (14p + 7pq + -2q + -1q2) = 0 Solving 14p + 7pq + -2q + -1q2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2q' to each side of the equation. 14p + 7pq + -2q + 2q + -1q2 = 0 + 2q Combine like terms: -2q + 2q = 0 14p + 7pq + 0 + -1q2 = 0 + 2q 14p + 7pq + -1q2 = 0 + 2q Remove the zero: 14p + 7pq + -1q2 = 2q Add 'q2' to each side of the equation. 14p + 7pq + -1q2 + q2 = 2q + q2 Combine like terms: -1q2 + q2 = 0 14p + 7pq + 0 = 2q + q2 14p + 7pq = 2q + q2 Reorder the terms: 14p + 7pq + -2q + -1q2 = 2q + -2q + q2 + -1q2 Combine like terms: 2q + -2q = 0 14p + 7pq + -2q + -1q2 = 0 + q2 + -1q2 14p + 7pq + -2q + -1q2 = q2 + -1q2 Combine like terms: q2 + -1q2 = 0 14p + 7pq + -2q + -1q2 = 0 The solution to this equation could not be determined.
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