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Simplifying x4 + -3x3 + px2 + qx + r = 0 Reorder the terms: px2 + qx + r + -3x3 + x4 = 0 Solving px2 + qx + r + -3x3 + x4 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1qx' to each side of the equation. px2 + qx + r + -3x3 + -1qx + x4 = 0 + -1qx Reorder the terms: px2 + qx + -1qx + r + -3x3 + x4 = 0 + -1qx Combine like terms: qx + -1qx = 0 px2 + 0 + r + -3x3 + x4 = 0 + -1qx px2 + r + -3x3 + x4 = 0 + -1qx Remove the zero: px2 + r + -3x3 + x4 = -1qx Add '-1r' to each side of the equation. px2 + r + -3x3 + -1r + x4 = -1qx + -1r Reorder the terms: px2 + r + -1r + -3x3 + x4 = -1qx + -1r Combine like terms: r + -1r = 0 px2 + 0 + -3x3 + x4 = -1qx + -1r px2 + -3x3 + x4 = -1qx + -1r Add '3x3' to each side of the equation. px2 + -3x3 + 3x3 + x4 = -1qx + -1r + 3x3 Combine like terms: -3x3 + 3x3 = 0 px2 + 0 + x4 = -1qx + -1r + 3x3 px2 + x4 = -1qx + -1r + 3x3 Add '-1x4' to each side of the equation. px2 + x4 + -1x4 = -1qx + -1r + 3x3 + -1x4 Combine like terms: x4 + -1x4 = 0 px2 + 0 = -1qx + -1r + 3x3 + -1x4 px2 = -1qx + -1r + 3x3 + -1x4 Divide each side by 'x2'. p = -1qx-1 + -1rx-2 + 3x + -1x2 Simplifying p = -1qx-1 + -1rx-2 + 3x + -1x2
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