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Simplifying x2 + px + q = 5x + -7 Reorder the terms: px + q + x2 = 5x + -7 Reorder the terms: px + q + x2 = -7 + 5x Solving px + q + x2 = -7 + 5x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. px + q + -1q + x2 = -7 + -1q + 5x Combine like terms: q + -1q = 0 px + 0 + x2 = -7 + -1q + 5x px + x2 = -7 + -1q + 5x Add '-1x2' to each side of the equation. px + x2 + -1x2 = -7 + -1q + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 px + 0 = -7 + -1q + 5x + -1x2 px = -7 + -1q + 5x + -1x2 Divide each side by 'x'. p = -7x-1 + -1qx-1 + 5 + -1x Simplifying p = -7x-1 + -1qx-1 + 5 + -1x Reorder the terms: p = 5 + -1qx-1 + -7x-1 + -1x
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