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