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Simplifying x3 + -1ax2 + -5x + 4 = 0 Reorder the terms: 4 + -1ax2 + -5x + x3 = 0 Solving 4 + -1ax2 + -5x + x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1ax2 + -5x + -4 + x3 = 0 + -4 Reorder the terms: 4 + -4 + -1ax2 + -5x + x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1ax2 + -5x + x3 = 0 + -4 -1ax2 + -5x + x3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1ax2 + -5x + x3 = -4 Add '5x' to each side of the equation. -1ax2 + -5x + 5x + x3 = -4 + 5x Combine like terms: -5x + 5x = 0 -1ax2 + 0 + x3 = -4 + 5x -1ax2 + x3 = -4 + 5x Add '-1x3' to each side of the equation. -1ax2 + x3 + -1x3 = -4 + 5x + -1x3 Combine like terms: x3 + -1x3 = 0 -1ax2 + 0 = -4 + 5x + -1x3 -1ax2 = -4 + 5x + -1x3 Divide each side by '-1x2'. a = 4x-2 + -5x-1 + x Simplifying a = 4x-2 + -5x-1 + x
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