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