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Simplifying 8x3 + px2 + qx + -18 = 0 Reorder the terms: -18 + px2 + qx + 8x3 = 0 Solving -18 + px2 + qx + 8x3 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18' to each side of the equation. -18 + px2 + qx + 18 + 8x3 = 0 + 18 Reorder the terms: -18 + 18 + px2 + qx + 8x3 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + px2 + qx + 8x3 = 0 + 18 px2 + qx + 8x3 = 0 + 18 Combine like terms: 0 + 18 = 18 px2 + qx + 8x3 = 18 Add '-1qx' to each side of the equation. px2 + qx + -1qx + 8x3 = 18 + -1qx Combine like terms: qx + -1qx = 0 px2 + 0 + 8x3 = 18 + -1qx px2 + 8x3 = 18 + -1qx Add '-8x3' to each side of the equation. px2 + 8x3 + -8x3 = 18 + -1qx + -8x3 Combine like terms: 8x3 + -8x3 = 0 px2 + 0 = 18 + -1qx + -8x3 px2 = 18 + -1qx + -8x3 Divide each side by 'x2'. p = 18x-2 + -1qx-1 + -8x Simplifying p = 18x-2 + -1qx-1 + -8x Reorder the terms: p = -1qx-1 + 18x-2 + -8x
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