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Simplifying [(2q + 6) + -1p][(2q + 6) + p] = 0 Reorder the terms: [(6 + 2q) + -1p][(2q + 6) + p] = 0 Remove parenthesis around (6 + 2q) [6 + 2q + -1p][(2q + 6) + p] = 0 Reorder the terms: [6 + -1p + 2q][(2q + 6) + p] = 0 Reorder the terms: [6 + -1p + 2q][(6 + 2q) + p] = 0 Remove parenthesis around (6 + 2q) [6 + -1p + 2q][6 + 2q + p] = 0 Reorder the terms: [6 + -1p + 2q][6 + p + 2q] = 0 Multiply [6 + -1p + 2q] * [6 + p + 2q] [6[6 + p + 2q] + -1p * [6 + p + 2q] + 2q * [6 + p + 2q]] = 0 [[6 * 6 + p * 6 + 2q * 6] + -1p * [6 + p + 2q] + 2q * [6 + p + 2q]] = 0 [[36 + 6p + 12q] + -1p * [6 + p + 2q] + 2q * [6 + p + 2q]] = 0 [36 + 6p + 12q + [6 * -1p + p * -1p + 2q * -1p] + 2q * [6 + p + 2q]] = 0 Reorder the terms: [36 + 6p + 12q + [-6p + -2pq + -1p2] + 2q * [6 + p + 2q]] = 0 [36 + 6p + 12q + [-6p + -2pq + -1p2] + 2q * [6 + p + 2q]] = 0 [36 + 6p + 12q + -6p + -2pq + -1p2 + [6 * 2q + p * 2q + 2q * 2q]] = 0 Reorder the terms: [36 + 6p + 12q + -6p + -2pq + -1p2 + [2pq + 12q + 4q2]] = 0 [36 + 6p + 12q + -6p + -2pq + -1p2 + [2pq + 12q + 4q2]] = 0 Reorder the terms: [36 + 6p + -6p + -2pq + 2pq + -1p2 + 12q + 12q + 4q2] = 0 Combine like terms: 6p + -6p = 0 [36 + 0 + -2pq + 2pq + -1p2 + 12q + 12q + 4q2] = 0 [36 + -2pq + 2pq + -1p2 + 12q + 12q + 4q2] = 0 Combine like terms: -2pq + 2pq = 0 [36 + 0 + -1p2 + 12q + 12q + 4q2] = 0 [36 + -1p2 + 12q + 12q + 4q2] = 0 Combine like terms: 12q + 12q = 24q [36 + -1p2 + 24q + 4q2] = 0 Solving 36 + -1p2 + 24q + 4q2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -1p2 + 24q + -36 + 4q2 = 0 + -36 Reorder the terms: 36 + -36 + -1p2 + 24q + 4q2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1p2 + 24q + 4q2 = 0 + -36 -1p2 + 24q + 4q2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1p2 + 24q + 4q2 = -36 Add '-24q' to each side of the equation. -1p2 + 24q + -24q + 4q2 = -36 + -24q Combine like terms: 24q + -24q = 0 -1p2 + 0 + 4q2 = -36 + -24q -1p2 + 4q2 = -36 + -24q Add '-4q2' to each side of the equation. -1p2 + 4q2 + -4q2 = -36 + -24q + -4q2 Combine like terms: 4q2 + -4q2 = 0 -1p2 + 0 = -36 + -24q + -4q2 -1p2 = -36 + -24q + -4q2 Divide each side by '-1'. p2 = 36 + 24q + 4q2 Simplifying p2 = 36 + 24q + 4q2 Reorder the terms: -36 + p2 + -24q + -4q2 = 36 + 24q + 4q2 + -36 + -24q + -4q2 Reorder the terms: -36 + p2 + -24q + -4q2 = 36 + -36 + 24q + -24q + 4q2 + -4q2 Combine like terms: 36 + -36 = 0 -36 + p2 + -24q + -4q2 = 0 + 24q + -24q + 4q2 + -4q2 -36 + p2 + -24q + -4q2 = 24q + -24q + 4q2 + -4q2 Combine like terms: 24q + -24q = 0 -36 + p2 + -24q + -4q2 = 0 + 4q2 + -4q2 -36 + p2 + -24q + -4q2 = 4q2 + -4q2 Combine like terms: 4q2 + -4q2 = 0 -36 + p2 + -24q + -4q2 = 0 The solution to this equation could not be determined.
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