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Simplifying (a + -1) * x2 + ax + 1 + -1x2 + -1x + -1a = 0 Reorder the terms: (-1 + a) * x2 + ax + 1 + -1x2 + -1x + -1a = 0 Reorder the terms for easier multiplication: x2(-1 + a) + ax + 1 + -1x2 + -1x + -1a = 0 (-1 * x2 + a * x2) + ax + 1 + -1x2 + -1x + -1a = 0 Reorder the terms: (ax2 + -1x2) + ax + 1 + -1x2 + -1x + -1a = 0 (ax2 + -1x2) + ax + 1 + -1x2 + -1x + -1a = 0 Reorder the terms: 1 + -1a + ax + ax2 + -1x + -1x2 + -1x2 = 0 Combine like terms: -1x2 + -1x2 = -2x2 1 + -1a + ax + ax2 + -1x + -2x2 = 0 Solving 1 + -1a + ax + ax2 + -1x + -2x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1a + ax + ax2 + -1x + -1 + -2x2 = 0 + -1 Reorder the terms: 1 + -1 + -1a + ax + ax2 + -1x + -2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a + ax + ax2 + -1x + -2x2 = 0 + -1 -1a + ax + ax2 + -1x + -2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1a + ax + ax2 + -1x + -2x2 = -1 Add 'x' to each side of the equation. -1a + ax + ax2 + -1x + x + -2x2 = -1 + x Combine like terms: -1x + x = 0 -1a + ax + ax2 + 0 + -2x2 = -1 + x -1a + ax + ax2 + -2x2 = -1 + x Add '2x2' to each side of the equation. -1a + ax + ax2 + -2x2 + 2x2 = -1 + x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -1a + ax + ax2 + 0 = -1 + x + 2x2 -1a + ax + ax2 = -1 + x + 2x2 Reorder the terms: 1 + -1a + ax + ax2 + -1x + -2x2 = -1 + x + 2x2 + 1 + -1x + -2x2 Reorder the terms: 1 + -1a + ax + ax2 + -1x + -2x2 = -1 + 1 + x + -1x + 2x2 + -2x2 Combine like terms: -1 + 1 = 0 1 + -1a + ax + ax2 + -1x + -2x2 = 0 + x + -1x + 2x2 + -2x2 1 + -1a + ax + ax2 + -1x + -2x2 = x + -1x + 2x2 + -2x2 Combine like terms: x + -1x = 0 1 + -1a + ax + ax2 + -1x + -2x2 = 0 + 2x2 + -2x2 1 + -1a + ax + ax2 + -1x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1 + -1a + ax + ax2 + -1x + -2x2 = 0 The solution to this equation could not be determined.
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