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Simplifying 3x2 + (p + 1) * x + 24 = 0 Reorder the terms: 3x2 + (1 + p) * x + 24 = 0 Reorder the terms for easier multiplication: 3x2 + x(1 + p) + 24 = 0 3x2 + (1 * x + p * x) + 24 = 0 Reorder the terms: 3x2 + (px + 1x) + 24 = 0 3x2 + (px + 1x) + 24 = 0 Reorder the terms: 24 + px + 1x + 3x2 = 0 Solving 24 + px + 1x + 3x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + px + 1x + -24 + 3x2 = 0 + -24 Reorder the terms: 24 + -24 + px + 1x + 3x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + px + 1x + 3x2 = 0 + -24 px + 1x + 3x2 = 0 + -24 Combine like terms: 0 + -24 = -24 px + 1x + 3x2 = -24 Add '-1x' to each side of the equation. px + 1x + -1x + 3x2 = -24 + -1x Combine like terms: 1x + -1x = 0 px + 0 + 3x2 = -24 + -1x px + 3x2 = -24 + -1x Add '-3x2' to each side of the equation. px + 3x2 + -3x2 = -24 + -1x + -3x2 Combine like terms: 3x2 + -3x2 = 0 px + 0 = -24 + -1x + -3x2 px = -24 + -1x + -3x2 Divide each side by 'x'. p = -24x-1 + -1 + -3x Simplifying p = -24x-1 + -1 + -3x Reorder the terms: p = -1 + -24x-1 + -3x
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