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