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Simplifying px2 + 6x + q + -3 = 0 Reorder the terms: -3 + px2 + q + 6x = 0 Solving -3 + px2 + q + 6x = 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 + px2 + q + 3 + 6x = 0 + 3 Reorder the terms: -3 + 3 + px2 + q + 6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + px2 + q + 6x = 0 + 3 px2 + q + 6x = 0 + 3 Combine like terms: 0 + 3 = 3 px2 + q + 6x = 3 Add '-1q' to each side of the equation. px2 + q + -1q + 6x = 3 + -1q Combine like terms: q + -1q = 0 px2 + 0 + 6x = 3 + -1q px2 + 6x = 3 + -1q Add '-6x' to each side of the equation. px2 + 6x + -6x = 3 + -1q + -6x Combine like terms: 6x + -6x = 0 px2 + 0 = 3 + -1q + -6x px2 = 3 + -1q + -6x Divide each side by 'x2'. p = 3x-2 + -1qx-2 + -6x-1 Simplifying p = 3x-2 + -1qx-2 + -6x-1 Reorder the terms: p = -1qx-2 + 3x-2 + -6x-1
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