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Simplifying (f + g)(x) * g(x) = 4x2 Reorder the terms for easier multiplication: x * g * x(f + g) = 4x2 Multiply x * g gx * x(f + g) = 4x2 Multiply gx * x gx2(f + g) = 4x2 (f * gx2 + g * gx2) = 4x2 (fgx2 + g2x2) = 4x2 Solving fgx2 + g2x2 = 4x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1g2x2' to each side of the equation. fgx2 + g2x2 + -1g2x2 = -1g2x2 + 4x2 Combine like terms: g2x2 + -1g2x2 = 0 fgx2 + 0 = -1g2x2 + 4x2 fgx2 = -1g2x2 + 4x2 Divide each side by 'gx2'. f = -1g + 4g-1 Simplifying f = -1g + 4g-1 Reorder the terms: f = 4g-1 + -1g
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