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Simplifying px2 + 5x2 + -8x + 1 = 0 Reorder the terms: 1 + px2 + -8x + 5x2 = 0 Solving 1 + px2 + -8x + 5x2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + px2 + -8x + -1 + 5x2 = 0 + -1 Reorder the terms: 1 + -1 + px2 + -8x + 5x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + px2 + -8x + 5x2 = 0 + -1 px2 + -8x + 5x2 = 0 + -1 Combine like terms: 0 + -1 = -1 px2 + -8x + 5x2 = -1 Add '8x' to each side of the equation. px2 + -8x + 8x + 5x2 = -1 + 8x Combine like terms: -8x + 8x = 0 px2 + 0 + 5x2 = -1 + 8x px2 + 5x2 = -1 + 8x Add '-5x2' to each side of the equation. px2 + 5x2 + -5x2 = -1 + 8x + -5x2 Combine like terms: 5x2 + -5x2 = 0 px2 + 0 = -1 + 8x + -5x2 px2 = -1 + 8x + -5x2 Divide each side by 'x2'. p = -1x-2 + 8x-1 + -5 Simplifying p = -1x-2 + 8x-1 + -5 Reorder the terms: p = -5 + -1x-2 + 8x-1
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