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Simplifying x3 + 5x2 + ax + 2 = 0 Reorder the terms: 2 + ax + 5x2 + x3 = 0 Solving 2 + ax + 5x2 + 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 + ax + 5x2 + -2 + x3 = 0 + -2 Reorder the terms: 2 + -2 + ax + 5x2 + x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + ax + 5x2 + x3 = 0 + -2 ax + 5x2 + x3 = 0 + -2 Combine like terms: 0 + -2 = -2 ax + 5x2 + x3 = -2 Add '-5x2' to each side of the equation. ax + 5x2 + -5x2 + x3 = -2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 ax + 0 + x3 = -2 + -5x2 ax + x3 = -2 + -5x2 Add '-1x3' to each side of the equation. ax + x3 + -1x3 = -2 + -5x2 + -1x3 Combine like terms: x3 + -1x3 = 0 ax + 0 = -2 + -5x2 + -1x3 ax = -2 + -5x2 + -1x3 Divide each side by 'x'. a = -2x-1 + -5x + -1x2 Simplifying a = -2x-1 + -5x + -1x2
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