F(x)+f(y)=2f(x)

Solution for F(x)+f(y)=2f(x) equation:

Simplifying
F(x) + f(y) = 2f(x)

Multiply F * x
xF + f(y) = 2f(x)

Multiply f * y
xF + fy = 2f(x)

Reorder the terms:
fy + xF = 2f(x)

Multiply f * x
fy + xF = 2fx

Solving
fy + xF = 2fx

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-2fx' to each side of the equation.
fy + -2fx + xF = 2fx + -2fx

Reorder the terms:
-2fx + fy + xF = 2fx + -2fx

Combine like terms: 2fx + -2fx = 0
-2fx + fy + xF = 0

Add '-1xF' to each side of the equation.
-2fx + fy + xF + -1xF = 0 + -1xF

Combine like terms: xF + -1xF = 0
-2fx + fy + 0 = 0 + -1xF
-2fx + fy = 0 + -1xF
Remove the zero:
-2fx + fy = -1xF

Combine like terms: -1xF + xF = 0
-2fx + fy + xF = 0

The solution to this equation could not be determined.