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Simplifying [(3p + -2) + 5q][(3p + -2) + -5q] = 0 Reorder the terms: [(-2 + 3p) + 5q][(3p + -2) + -5q] = 0 Remove parenthesis around (-2 + 3p) [-2 + 3p + 5q][(3p + -2) + -5q] = 0 Reorder the terms: [-2 + 3p + 5q][(-2 + 3p) + -5q] = 0 Remove parenthesis around (-2 + 3p) [-2 + 3p + 5q][-2 + 3p + -5q] = 0 Multiply [-2 + 3p + 5q] * [-2 + 3p + -5q] [-2[-2 + 3p + -5q] + 3p * [-2 + 3p + -5q] + 5q * [-2 + 3p + -5q]] = 0 [[-2 * -2 + 3p * -2 + -5q * -2] + 3p * [-2 + 3p + -5q] + 5q * [-2 + 3p + -5q]] = 0 [[4 + -6p + 10q] + 3p * [-2 + 3p + -5q] + 5q * [-2 + 3p + -5q]] = 0 [4 + -6p + 10q + [-2 * 3p + 3p * 3p + -5q * 3p] + 5q * [-2 + 3p + -5q]] = 0 Reorder the terms: [4 + -6p + 10q + [-6p + -15pq + 9p2] + 5q * [-2 + 3p + -5q]] = 0 [4 + -6p + 10q + [-6p + -15pq + 9p2] + 5q * [-2 + 3p + -5q]] = 0 [4 + -6p + 10q + -6p + -15pq + 9p2 + [-2 * 5q + 3p * 5q + -5q * 5q]] = 0 Reorder the terms: [4 + -6p + 10q + -6p + -15pq + 9p2 + [15pq + -10q + -25q2]] = 0 [4 + -6p + 10q + -6p + -15pq + 9p2 + [15pq + -10q + -25q2]] = 0 Reorder the terms: [4 + -6p + -6p + -15pq + 15pq + 9p2 + 10q + -10q + -25q2] = 0 Combine like terms: -6p + -6p = -12p [4 + -12p + -15pq + 15pq + 9p2 + 10q + -10q + -25q2] = 0 Combine like terms: -15pq + 15pq = 0 [4 + -12p + 0 + 9p2 + 10q + -10q + -25q2] = 0 [4 + -12p + 9p2 + 10q + -10q + -25q2] = 0 Combine like terms: 10q + -10q = 0 [4 + -12p + 9p2 + 0 + -25q2] = 0 [4 + -12p + 9p2 + -25q2] = 0 Solving 4 + -12p + 9p2 + -25q2 = 0 Solving for variable 'p'. The solution to this equation could not be determined.
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