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Simplifying a * x + b * x * x = 0 Multiply a * x ax + b * x * x = 0 Multiply b * x ax + bx * x = 0 Multiply bx * x ax + bx2 = 0 Solving ax + bx2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx2' to each side of the equation. ax + bx2 + -1bx2 = 0 + -1bx2 Combine like terms: bx2 + -1bx2 = 0 ax + 0 = 0 + -1bx2 ax = 0 + -1bx2 Remove the zero: ax = -1bx2 Divide each side by 'x'. a = -1bx Simplifying a = -1bx
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