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Simplifying 2x2 + -1x(4 + p) + 2 = 0forx 2x2 + (4 * -1x + p * -1x) + 2 = 0forx Reorder the terms: 2x2 + (-1px + -4x) + 2 = 0forx 2x2 + (-1px + -4x) + 2 = 0forx Reorder the terms: 2 + -1px + -4x + 2x2 = 0forx Anything times zero is zero. 2 + -1px + -4x + 2x2 = 0forx Solving 2 + -1px + -4x + 2x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1px + -4x + -2 + 2x2 = 0 + -2 Reorder the terms: 2 + -2 + -1px + -4x + 2x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1px + -4x + 2x2 = 0 + -2 -1px + -4x + 2x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1px + -4x + 2x2 = -2 Add '4x' to each side of the equation. -1px + -4x + 4x + 2x2 = -2 + 4x Combine like terms: -4x + 4x = 0 -1px + 0 + 2x2 = -2 + 4x -1px + 2x2 = -2 + 4x Add '-2x2' to each side of the equation. -1px + 2x2 + -2x2 = -2 + 4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1px + 0 = -2 + 4x + -2x2 -1px = -2 + 4x + -2x2 Divide each side by '-1x'. p = 2x-1 + -4 + 2x Simplifying p = 2x-1 + -4 + 2x Reorder the terms: p = -4 + 2x-1 + 2x
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