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Simplifying x3 + ax2 + 6x + -2 = 0 Reorder the terms: -2 + ax2 + 6x + x3 = 0 Solving -2 + ax2 + 6x + x3 = 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 + ax2 + 6x + 2 + x3 = 0 + 2 Reorder the terms: -2 + 2 + ax2 + 6x + x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + ax2 + 6x + x3 = 0 + 2 ax2 + 6x + x3 = 0 + 2 Combine like terms: 0 + 2 = 2 ax2 + 6x + x3 = 2 Add '-6x' to each side of the equation. ax2 + 6x + -6x + x3 = 2 + -6x Combine like terms: 6x + -6x = 0 ax2 + 0 + x3 = 2 + -6x ax2 + x3 = 2 + -6x Add '-1x3' to each side of the equation. ax2 + x3 + -1x3 = 2 + -6x + -1x3 Combine like terms: x3 + -1x3 = 0 ax2 + 0 = 2 + -6x + -1x3 ax2 = 2 + -6x + -1x3 Divide each side by 'x2'. a = 2x-2 + -6x-1 + -1x Simplifying a = 2x-2 + -6x-1 + -1x
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