f(4x)=x-f(0)

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Solution for f(4x)=x-f(0) equation:


Simplifying
f(4x) = x + -1f(0)

Remove parenthesis around (4x)
f * 4x = x + -1f(0)

Reorder the terms for easier multiplication:
4f * x = x + -1f(0)

Multiply f * x
4fx = x + -1f(0)

Reorder the terms for easier multiplication:
4fx = x + -1 * 0f

Multiply -1 * 0
4fx = x + 0f

Anything times zero is zero.
4fx = x + 0f

Reorder the terms:
4fx = 0 + x
Remove the zero:
4fx = x

Solving
4fx = x

Solving for variable 'f'.

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

Divide each side by '4x'.
f = 0.25

Simplifying
f = 0.25

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