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Simplifying 2px2 + px + 2x = x2 + 7p + 1 Reorder the terms: px + 2px2 + 2x = x2 + 7p + 1 Reorder the terms: px + 2px2 + 2x = 1 + 7p + x2 Solving px + 2px2 + 2x = 1 + 7p + x2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. px + 2px2 + -7p + 2x = 1 + 7p + -7p + x2 Reorder the terms: -7p + px + 2px2 + 2x = 1 + 7p + -7p + x2 Combine like terms: 7p + -7p = 0 -7p + px + 2px2 + 2x = 1 + 0 + x2 -7p + px + 2px2 + 2x = 1 + x2 Add '-2x' to each side of the equation. -7p + px + 2px2 + 2x + -2x = 1 + -2x + x2 Combine like terms: 2x + -2x = 0 -7p + px + 2px2 + 0 = 1 + -2x + x2 -7p + px + 2px2 = 1 + -2x + x2 Reorder the terms: -1 + -7p + px + 2px2 + 2x + -1x2 = 1 + -2x + x2 + -1 + 2x + -1x2 Reorder the terms: -1 + -7p + px + 2px2 + 2x + -1x2 = 1 + -1 + -2x + 2x + x2 + -1x2 Combine like terms: 1 + -1 = 0 -1 + -7p + px + 2px2 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2 -1 + -7p + px + 2px2 + 2x + -1x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 -1 + -7p + px + 2px2 + 2x + -1x2 = 0 + x2 + -1x2 -1 + -7p + px + 2px2 + 2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1 + -7p + px + 2px2 + 2x + -1x2 = 0 The solution to this equation could not be determined.
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