f(-x)=-f(x)

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


Simplifying
f(-1x) = -1f(x)

Remove parenthesis around (-1x)
f * -1x = -1f(x)

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

Multiply f * x
-1fx = -1f(x)

Multiply f * x
-1fx = -1fx

Add 'fx' to each side of the equation.
-1fx + fx = -1fx + fx

Combine like terms: -1fx + fx = 0
0 = -1fx + fx

Combine like terms: -1fx + fx = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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