f(x)+g(x)=x^2

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Solution for f(x)+g(x)=x^2 equation: 


Simplifying
f(x) + g(x) = x2

Multiply f * x
fx + g(x) = x2

Multiply g * x
fx + gx = x2

Solving
fx + gx = x2

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 = -1gx + x2

Combine like terms: gx + -1gx = 0
fx + 0 = -1gx + x2
fx = -1gx + x2

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

Simplifying
f = -1g + x

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