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Simplifying (f + g)(x) = 0 Reorder the terms for easier multiplication: x(f + g) = 0 (f * x + g * x) = 0 (fx + gx) = 0 Solving fx + gx = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1gx' to each side of the equation. fx + gx + -1gx = 0 + -1gx Combine like terms: gx + -1gx = 0 fx + 0 = 0 + -1gx fx = 0 + -1gx Remove the zero: fx = -1gx Divide each side by 'x'. f = -1g Simplifying f = -1g
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