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Simplifying [(4q + 2) + -1p][(4q + 2) + p] = 0 Reorder the terms: [(2 + 4q) + -1p][(4q + 2) + p] = 0 Remove parenthesis around (2 + 4q) [2 + 4q + -1p][(4q + 2) + p] = 0 Reorder the terms: [2 + -1p + 4q][(4q + 2) + p] = 0 Reorder the terms: [2 + -1p + 4q][(2 + 4q) + p] = 0 Remove parenthesis around (2 + 4q) [2 + -1p + 4q][2 + 4q + p] = 0 Reorder the terms: [2 + -1p + 4q][2 + p + 4q] = 0 Multiply [2 + -1p + 4q] * [2 + p + 4q] [2[2 + p + 4q] + -1p * [2 + p + 4q] + 4q * [2 + p + 4q]] = 0 [[2 * 2 + p * 2 + 4q * 2] + -1p * [2 + p + 4q] + 4q * [2 + p + 4q]] = 0 [[4 + 2p + 8q] + -1p * [2 + p + 4q] + 4q * [2 + p + 4q]] = 0 [4 + 2p + 8q + [2 * -1p + p * -1p + 4q * -1p] + 4q * [2 + p + 4q]] = 0 Reorder the terms: [4 + 2p + 8q + [-2p + -4pq + -1p2] + 4q * [2 + p + 4q]] = 0 [4 + 2p + 8q + [-2p + -4pq + -1p2] + 4q * [2 + p + 4q]] = 0 [4 + 2p + 8q + -2p + -4pq + -1p2 + [2 * 4q + p * 4q + 4q * 4q]] = 0 Reorder the terms: [4 + 2p + 8q + -2p + -4pq + -1p2 + [4pq + 8q + 16q2]] = 0 [4 + 2p + 8q + -2p + -4pq + -1p2 + [4pq + 8q + 16q2]] = 0 Reorder the terms: [4 + 2p + -2p + -4pq + 4pq + -1p2 + 8q + 8q + 16q2] = 0 Combine like terms: 2p + -2p = 0 [4 + 0 + -4pq + 4pq + -1p2 + 8q + 8q + 16q2] = 0 [4 + -4pq + 4pq + -1p2 + 8q + 8q + 16q2] = 0 Combine like terms: -4pq + 4pq = 0 [4 + 0 + -1p2 + 8q + 8q + 16q2] = 0 [4 + -1p2 + 8q + 8q + 16q2] = 0 Combine like terms: 8q + 8q = 16q [4 + -1p2 + 16q + 16q2] = 0 Solving 4 + -1p2 + 16q + 16q2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1p2 + 16q + -4 + 16q2 = 0 + -4 Reorder the terms: 4 + -4 + -1p2 + 16q + 16q2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p2 + 16q + 16q2 = 0 + -4 -1p2 + 16q + 16q2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1p2 + 16q + 16q2 = -4 Add '-16q' to each side of the equation. -1p2 + 16q + -16q + 16q2 = -4 + -16q Combine like terms: 16q + -16q = 0 -1p2 + 0 + 16q2 = -4 + -16q -1p2 + 16q2 = -4 + -16q Add '-16q2' to each side of the equation. -1p2 + 16q2 + -16q2 = -4 + -16q + -16q2 Combine like terms: 16q2 + -16q2 = 0 -1p2 + 0 = -4 + -16q + -16q2 -1p2 = -4 + -16q + -16q2 Divide each side by '-1'. p2 = 4 + 16q + 16q2 Simplifying p2 = 4 + 16q + 16q2 Reorder the terms: -4 + p2 + -16q + -16q2 = 4 + 16q + 16q2 + -4 + -16q + -16q2 Reorder the terms: -4 + p2 + -16q + -16q2 = 4 + -4 + 16q + -16q + 16q2 + -16q2 Combine like terms: 4 + -4 = 0 -4 + p2 + -16q + -16q2 = 0 + 16q + -16q + 16q2 + -16q2 -4 + p2 + -16q + -16q2 = 16q + -16q + 16q2 + -16q2 Combine like terms: 16q + -16q = 0 -4 + p2 + -16q + -16q2 = 0 + 16q2 + -16q2 -4 + p2 + -16q + -16q2 = 16q2 + -16q2 Combine like terms: 16q2 + -16q2 = 0 -4 + p2 + -16q + -16q2 = 0 The solution to this equation could not be determined.
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