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Simplifying x3 + ax2 + -5x + 6 = 0 Reorder the terms: 6 + ax2 + -5x + x3 = 0 Solving 6 + ax2 + -5x + x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + ax2 + -5x + -6 + x3 = 0 + -6 Reorder the terms: 6 + -6 + ax2 + -5x + x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + ax2 + -5x + x3 = 0 + -6 ax2 + -5x + x3 = 0 + -6 Combine like terms: 0 + -6 = -6 ax2 + -5x + x3 = -6 Add '5x' to each side of the equation. ax2 + -5x + 5x + x3 = -6 + 5x Combine like terms: -5x + 5x = 0 ax2 + 0 + x3 = -6 + 5x ax2 + x3 = -6 + 5x Add '-1x3' to each side of the equation. ax2 + x3 + -1x3 = -6 + 5x + -1x3 Combine like terms: x3 + -1x3 = 0 ax2 + 0 = -6 + 5x + -1x3 ax2 = -6 + 5x + -1x3 Divide each side by 'x2'. a = -6x-2 + 5x-1 + -1x Simplifying a = -6x-2 + 5x-1 + -1x
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