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Simplifying Px2 + (2p + -1q) * x + -2q = 0 Reorder the terms for easier multiplication: x2P + x(2p + -1q) + -2q = 0 x2P + (2p * x + -1q * x) + -2q = 0 x2P + (2px + -1qx) + -2q = 0 Reorder the terms: 2px + -2q + -1qx + x2P = 0 Solving 2px + -2q + -1qx + x2P = 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. 2px + -2q + -1qx + 2q + x2P = 0 + 2q Reorder the terms: 2px + -2q + 2q + -1qx + x2P = 0 + 2q Combine like terms: -2q + 2q = 0 2px + 0 + -1qx + x2P = 0 + 2q 2px + -1qx + x2P = 0 + 2q Remove the zero: 2px + -1qx + x2P = 2q Add 'qx' to each side of the equation. 2px + -1qx + qx + x2P = 2q + qx Combine like terms: -1qx + qx = 0 2px + 0 + x2P = 2q + qx 2px + x2P = 2q + qx Add '-1x2P' to each side of the equation. 2px + x2P + -1x2P = 2q + qx + -1x2P Combine like terms: x2P + -1x2P = 0 2px + 0 = 2q + qx + -1x2P 2px = 2q + qx + -1x2P Divide each side by '2x'. p = qx-1 + 0.5q + -0.5xP Simplifying p = qx-1 + 0.5q + -0.5xP Reorder the terms: p = 0.5q + qx-1 + -0.5xP
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