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Simplifying x4 + -4x3 + (2 + -1a) * x2 + 2x + -2 = 0 Reorder the terms for easier multiplication: x4 + -4x3 + x2(2 + -1a) + 2x + -2 = 0 x4 + -4x3 + (2 * x2 + -1a * x2) + 2x + -2 = 0 Reorder the terms: x4 + -4x3 + (-1ax2 + 2x2) + 2x + -2 = 0 x4 + -4x3 + (-1ax2 + 2x2) + 2x + -2 = 0 Reorder the terms: -2 + -1ax2 + 2x + 2x2 + -4x3 + x4 = 0 Solving -2 + -1ax2 + 2x + 2x2 + -4x3 + x4 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1ax2 + 2x + 2x2 + -4x3 + 2 + x4 = 0 + 2 Reorder the terms: -2 + 2 + -1ax2 + 2x + 2x2 + -4x3 + x4 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1ax2 + 2x + 2x2 + -4x3 + x4 = 0 + 2 -1ax2 + 2x + 2x2 + -4x3 + x4 = 0 + 2 Combine like terms: 0 + 2 = 2 -1ax2 + 2x + 2x2 + -4x3 + x4 = 2 Add '-2x' to each side of the equation. -1ax2 + 2x + 2x2 + -4x3 + -2x + x4 = 2 + -2x Reorder the terms: -1ax2 + 2x + -2x + 2x2 + -4x3 + x4 = 2 + -2x Combine like terms: 2x + -2x = 0 -1ax2 + 0 + 2x2 + -4x3 + x4 = 2 + -2x -1ax2 + 2x2 + -4x3 + x4 = 2 + -2x Add '-2x2' to each side of the equation. -1ax2 + 2x2 + -4x3 + -2x2 + x4 = 2 + -2x + -2x2 Reorder the terms: -1ax2 + 2x2 + -2x2 + -4x3 + x4 = 2 + -2x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1ax2 + 0 + -4x3 + x4 = 2 + -2x + -2x2 -1ax2 + -4x3 + x4 = 2 + -2x + -2x2 Add '4x3' to each side of the equation. -1ax2 + -4x3 + 4x3 + x4 = 2 + -2x + -2x2 + 4x3 Combine like terms: -4x3 + 4x3 = 0 -1ax2 + 0 + x4 = 2 + -2x + -2x2 + 4x3 -1ax2 + x4 = 2 + -2x + -2x2 + 4x3 Add '-1x4' to each side of the equation. -1ax2 + x4 + -1x4 = 2 + -2x + -2x2 + 4x3 + -1x4 Combine like terms: x4 + -1x4 = 0 -1ax2 + 0 = 2 + -2x + -2x2 + 4x3 + -1x4 -1ax2 = 2 + -2x + -2x2 + 4x3 + -1x4 Divide each side by '-1x2'. a = -2x-2 + 2x-1 + 2 + -4x + x2 Simplifying a = -2x-2 + 2x-1 + 2 + -4x + x2 Reorder the terms: a = 2 + -2x-2 + 2x-1 + -4x + x2
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