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Simplifying x3 + px2 + 2px = 3p + 1 Reorder the terms: 2px + px2 + x3 = 3p + 1 Reorder the terms: 2px + px2 + x3 = 1 + 3p Solving 2px + px2 + x3 = 1 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 2px + px2 + -3p + x3 = 1 + 3p + -3p Reorder the terms: -3p + 2px + px2 + x3 = 1 + 3p + -3p Combine like terms: 3p + -3p = 0 -3p + 2px + px2 + x3 = 1 + 0 -3p + 2px + px2 + x3 = 1 Add '-1x3' to each side of the equation. -3p + 2px + px2 + x3 + -1x3 = 1 + -1x3 Combine like terms: x3 + -1x3 = 0 -3p + 2px + px2 + 0 = 1 + -1x3 -3p + 2px + px2 = 1 + -1x3 Reorder the terms: -1 + -3p + 2px + px2 + x3 = 1 + -1x3 + -1 + x3 Reorder the terms: -1 + -3p + 2px + px2 + x3 = 1 + -1 + -1x3 + x3 Combine like terms: 1 + -1 = 0 -1 + -3p + 2px + px2 + x3 = 0 + -1x3 + x3 -1 + -3p + 2px + px2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -1 + -3p + 2px + px2 + x3 = 0 The solution to this equation could not be determined.
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