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Simplifying x3 + 8x2 + ax + 6 = 0 Reorder the terms: 6 + ax + 8x2 + x3 = 0 Solving 6 + ax + 8x2 + 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 + ax + 8x2 + -6 + x3 = 0 + -6 Reorder the terms: 6 + -6 + ax + 8x2 + x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + ax + 8x2 + x3 = 0 + -6 ax + 8x2 + x3 = 0 + -6 Combine like terms: 0 + -6 = -6 ax + 8x2 + x3 = -6 Add '-8x2' to each side of the equation. ax + 8x2 + -8x2 + x3 = -6 + -8x2 Combine like terms: 8x2 + -8x2 = 0 ax + 0 + x3 = -6 + -8x2 ax + x3 = -6 + -8x2 Add '-1x3' to each side of the equation. ax + x3 + -1x3 = -6 + -8x2 + -1x3 Combine like terms: x3 + -1x3 = 0 ax + 0 = -6 + -8x2 + -1x3 ax = -6 + -8x2 + -1x3 Divide each side by 'x'. a = -6x-1 + -8x + -1x2 Simplifying a = -6x-1 + -8x + -1x2
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