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Simplifying (2p + 5) * x2 + px + 1 = 0 Reorder the terms: (5 + 2p) * x2 + px + 1 = 0 Reorder the terms for easier multiplication: x2(5 + 2p) + px + 1 = 0 (5 * x2 + 2p * x2) + px + 1 = 0 Reorder the terms: (2px2 + 5x2) + px + 1 = 0 (2px2 + 5x2) + px + 1 = 0 Reorder the terms: 1 + px + 2px2 + 5x2 = 0 Solving 1 + px + 2px2 + 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 + px + 2px2 + -1 + 5x2 = 0 + -1 Reorder the terms: 1 + -1 + px + 2px2 + 5x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + px + 2px2 + 5x2 = 0 + -1 px + 2px2 + 5x2 = 0 + -1 Combine like terms: 0 + -1 = -1 px + 2px2 + 5x2 = -1 Add '-5x2' to each side of the equation. px + 2px2 + 5x2 + -5x2 = -1 + -5x2 Combine like terms: 5x2 + -5x2 = 0 px + 2px2 + 0 = -1 + -5x2 px + 2px2 = -1 + -5x2 Reorder the terms: 1 + px + 2px2 + 5x2 = -1 + -5x2 + 1 + 5x2 Reorder the terms: 1 + px + 2px2 + 5x2 = -1 + 1 + -5x2 + 5x2 Combine like terms: -1 + 1 = 0 1 + px + 2px2 + 5x2 = 0 + -5x2 + 5x2 1 + px + 2px2 + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 1 + px + 2px2 + 5x2 = 0 The solution to this equation could not be determined.
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