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Simplifying p * x2 + 2(p + 2) * x + p + 7 = 0 Multiply p * x2 px2 + 2(p + 2) * x + p + 7 = 0 Reorder the terms: px2 + 2(2 + p) * x + p + 7 = 0 Reorder the terms for easier multiplication: px2 + 2x(2 + p) + p + 7 = 0 px2 + (2 * 2x + p * 2x) + p + 7 = 0 Reorder the terms: px2 + (2px + 4x) + p + 7 = 0 px2 + (2px + 4x) + p + 7 = 0 Reorder the terms: 7 + p + 2px + px2 + 4x = 0 Solving 7 + p + 2px + px2 + 4x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + p + 2px + px2 + -7 + 4x = 0 + -7 Reorder the terms: 7 + -7 + p + 2px + px2 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p + 2px + px2 + 4x = 0 + -7 p + 2px + px2 + 4x = 0 + -7 Combine like terms: 0 + -7 = -7 p + 2px + px2 + 4x = -7 Add '-4x' to each side of the equation. p + 2px + px2 + 4x + -4x = -7 + -4x Combine like terms: 4x + -4x = 0 p + 2px + px2 + 0 = -7 + -4x p + 2px + px2 = -7 + -4x Reorder the terms: 7 + p + 2px + px2 + 4x = -7 + -4x + 7 + 4x Reorder the terms: 7 + p + 2px + px2 + 4x = -7 + 7 + -4x + 4x Combine like terms: -7 + 7 = 0 7 + p + 2px + px2 + 4x = 0 + -4x + 4x 7 + p + 2px + px2 + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 7 + p + 2px + px2 + 4x = 0 The solution to this equation could not be determined.
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