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Simplifying x3 + -3x2 + ax + b = 0 Reorder the terms: ax + b + -3x2 + x3 = 0 Solving ax + b + -3x2 + x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. ax + b + -3x2 + -1b + x3 = 0 + -1b Reorder the terms: ax + b + -1b + -3x2 + x3 = 0 + -1b Combine like terms: b + -1b = 0 ax + 0 + -3x2 + x3 = 0 + -1b ax + -3x2 + x3 = 0 + -1b Remove the zero: ax + -3x2 + x3 = -1b Add '3x2' to each side of the equation. ax + -3x2 + 3x2 + x3 = -1b + 3x2 Combine like terms: -3x2 + 3x2 = 0 ax + 0 + x3 = -1b + 3x2 ax + x3 = -1b + 3x2 Add '-1x3' to each side of the equation. ax + x3 + -1x3 = -1b + 3x2 + -1x3 Combine like terms: x3 + -1x3 = 0 ax + 0 = -1b + 3x2 + -1x3 ax = -1b + 3x2 + -1x3 Divide each side by 'x'. a = -1bx-1 + 3x + -1x2 Simplifying a = -1bx-1 + 3x + -1x2
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