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Simplifying x2 + -1(4 + p) * x + 12 = 0 Reorder the terms for easier multiplication: x2 + -1x(4 + p) + 12 = 0 x2 + (4 * -1x + p * -1x) + 12 = 0 Reorder the terms: x2 + (-1px + -4x) + 12 = 0 x2 + (-1px + -4x) + 12 = 0 Reorder the terms: 12 + -1px + -4x + x2 = 0 Solving 12 + -1px + -4x + x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1px + -4x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -1px + -4x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1px + -4x + x2 = 0 + -12 -1px + -4x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1px + -4x + x2 = -12 Add '4x' to each side of the equation. -1px + -4x + 4x + x2 = -12 + 4x Combine like terms: -4x + 4x = 0 -1px + 0 + x2 = -12 + 4x -1px + x2 = -12 + 4x Add '-1x2' to each side of the equation. -1px + x2 + -1x2 = -12 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 -1px + 0 = -12 + 4x + -1x2 -1px = -12 + 4x + -1x2 Divide each side by '-1x'. p = 12x-1 + -4 + x Simplifying p = 12x-1 + -4 + x Reorder the terms: p = -4 + 12x-1 + x
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