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Simplifying F(x + y) = f(x) * f(y) (x * F + y * F) = f(x) * f(y) (xF + yF) = f(x) * f(y) Multiply f * x xF + yF = fx * f * y Multiply fx * f xF + yF = f2x * y Multiply f2x * y xF + yF = f2xy Solving xF + yF = f2xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1f2xy' to each side of the equation. xF + -1f2xy + yF = f2xy + -1f2xy Reorder the terms: -1f2xy + xF + yF = f2xy + -1f2xy Combine like terms: f2xy + -1f2xy = 0 -1f2xy + xF + yF = 0 Add '-1yF' to each side of the equation. -1f2xy + xF + yF + -1yF = 0 + -1yF Combine like terms: yF + -1yF = 0 -1f2xy + xF + 0 = 0 + -1yF -1f2xy + xF = 0 + -1yF Remove the zero: -1f2xy + xF = -1yF Combine like terms: -1yF + yF = 0 -1f2xy + xF + yF = 0 The solution to this equation could not be determined.
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