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Simplifying (2p + 5) * x2 + x + 1 = 0 Reorder the terms: (5 + 2p) * x2 + x + 1 = 0 Reorder the terms for easier multiplication: x2(5 + 2p) + x + 1 = 0 (5 * x2 + 2p * x2) + x + 1 = 0 Reorder the terms: (2px2 + 5x2) + x + 1 = 0 (2px2 + 5x2) + x + 1 = 0 Reorder the terms: 1 + 2px2 + x + 5x2 = 0 Solving 1 + 2px2 + x + 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 + 2px2 + x + -1 + 5x2 = 0 + -1 Reorder the terms: 1 + -1 + 2px2 + x + 5x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2px2 + x + 5x2 = 0 + -1 2px2 + x + 5x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2px2 + x + 5x2 = -1 Add '-1x' to each side of the equation. 2px2 + x + -1x + 5x2 = -1 + -1x Combine like terms: x + -1x = 0 2px2 + 0 + 5x2 = -1 + -1x 2px2 + 5x2 = -1 + -1x Add '-5x2' to each side of the equation. 2px2 + 5x2 + -5x2 = -1 + -1x + -5x2 Combine like terms: 5x2 + -5x2 = 0 2px2 + 0 = -1 + -1x + -5x2 2px2 = -1 + -1x + -5x2 Divide each side by '2x2'. p = -0.5x-2 + -0.5x-1 + -2.5 Simplifying p = -0.5x-2 + -0.5x-1 + -2.5 Reorder the terms: p = -2.5 + -0.5x-2 + -0.5x-1
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