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Simplifying (x + p)(x + q) = 0 Reorder the terms: (p + x)(x + q) = 0 Reorder the terms: (p + x)(q + x) = 0 Multiply (p + x) * (q + x) (p(q + x) + x(q + x)) = 0 ((q * p + x * p) + x(q + x)) = 0 ((pq + px) + x(q + x)) = 0 (pq + px + (q * x + x * x)) = 0 (pq + px + (qx + x2)) = 0 (pq + px + qx + x2) = 0 Solving pq + px + qx + x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1qx' to each side of the equation. pq + px + qx + -1qx + x2 = 0 + -1qx Combine like terms: qx + -1qx = 0 pq + px + 0 + x2 = 0 + -1qx pq + px + x2 = 0 + -1qx Remove the zero: pq + px + x2 = -1qx Add '-1x2' to each side of the equation. pq + px + x2 + -1x2 = -1qx + -1x2 Combine like terms: x2 + -1x2 = 0 pq + px + 0 = -1qx + -1x2 pq + px = -1qx + -1x2 Reorder the terms: pq + px + qx + x2 = -1qx + qx + -1x2 + x2 Combine like terms: -1qx + qx = 0 pq + px + qx + x2 = 0 + -1x2 + x2 pq + px + qx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 pq + px + qx + x2 = 0 The solution to this equation could not be determined.
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