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Simplifying 2x2 + (p + 1) * x + 8 = 0 Reorder the terms: 2x2 + (1 + p) * x + 8 = 0 Reorder the terms for easier multiplication: 2x2 + x(1 + p) + 8 = 0 2x2 + (1 * x + p * x) + 8 = 0 Reorder the terms: 2x2 + (px + 1x) + 8 = 0 2x2 + (px + 1x) + 8 = 0 Reorder the terms: 8 + px + 1x + 2x2 = 0 Solving 8 + px + 1x + 2x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + px + 1x + -8 + 2x2 = 0 + -8 Reorder the terms: 8 + -8 + px + 1x + 2x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + px + 1x + 2x2 = 0 + -8 px + 1x + 2x2 = 0 + -8 Combine like terms: 0 + -8 = -8 px + 1x + 2x2 = -8 Add '-1x' to each side of the equation. px + 1x + -1x + 2x2 = -8 + -1x Combine like terms: 1x + -1x = 0 px + 0 + 2x2 = -8 + -1x px + 2x2 = -8 + -1x Add '-2x2' to each side of the equation. px + 2x2 + -2x2 = -8 + -1x + -2x2 Combine like terms: 2x2 + -2x2 = 0 px + 0 = -8 + -1x + -2x2 px = -8 + -1x + -2x2 Divide each side by 'x'. p = -8x-1 + -1 + -2x Simplifying p = -8x-1 + -1 + -2x Reorder the terms: p = -1 + -8x-1 + -2x
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