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Simplifying 8x2 + px + qx + 3 = 0 Reorder the terms: 3 + px + qx + 8x2 = 0 Solving 3 + px + qx + 8x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + px + qx + -3 + 8x2 = 0 + -3 Reorder the terms: 3 + -3 + px + qx + 8x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + px + qx + 8x2 = 0 + -3 px + qx + 8x2 = 0 + -3 Combine like terms: 0 + -3 = -3 px + qx + 8x2 = -3 Add '-1qx' to each side of the equation. px + qx + -1qx + 8x2 = -3 + -1qx Combine like terms: qx + -1qx = 0 px + 0 + 8x2 = -3 + -1qx px + 8x2 = -3 + -1qx Add '-8x2' to each side of the equation. px + 8x2 + -8x2 = -3 + -1qx + -8x2 Combine like terms: 8x2 + -8x2 = 0 px + 0 = -3 + -1qx + -8x2 px = -3 + -1qx + -8x2 Divide each side by 'x'. p = -3x-1 + -1q + -8x Simplifying p = -3x-1 + -1q + -8x Reorder the terms: p = -1q + -3x-1 + -8x
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