f(x)+g(x)=0

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Solution for f(x)+g(x)=0 equation: 


Simplifying
f(x) + g(x) = 0

Multiply f * x
fx + g(x) = 0

Multiply g * x
fx + gx = 0

Solving
fx + gx = 0

Solving for variable 'f'.

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

Add '-1gx' to each side of the equation.
fx + gx + -1gx = 0 + -1gx

Combine like terms: gx + -1gx = 0
fx + 0 = 0 + -1gx
fx = 0 + -1gx
Remove the zero:
fx = -1gx

Divide each side by 'x'.
f = -1g

Simplifying
f = -1g

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