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Simplifying x4 + px3 + qx + 36 = 0 Reorder the terms: 36 + px3 + qx + x4 = 0 Solving 36 + px3 + qx + x4 = 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 + px3 + qx + -36 + x4 = 0 + -36 Reorder the terms: 36 + -36 + px3 + qx + x4 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + px3 + qx + x4 = 0 + -36 px3 + qx + x4 = 0 + -36 Combine like terms: 0 + -36 = -36 px3 + qx + x4 = -36 Add '-1qx' to each side of the equation. px3 + qx + -1qx + x4 = -36 + -1qx Combine like terms: qx + -1qx = 0 px3 + 0 + x4 = -36 + -1qx px3 + x4 = -36 + -1qx Add '-1x4' to each side of the equation. px3 + x4 + -1x4 = -36 + -1qx + -1x4 Combine like terms: x4 + -1x4 = 0 px3 + 0 = -36 + -1qx + -1x4 px3 = -36 + -1qx + -1x4 Divide each side by 'x3'. p = -36x-3 + -1qx-2 + -1x Simplifying p = -36x-3 + -1qx-2 + -1x Reorder the terms: p = -1qx-2 + -36x-3 + -1x
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