Why is the right hand side zero when we solve a non-linear equation?

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While solving non-linear equations using Newton-Raphson's method we set the right hand side to zero. Why is that? Do you have any ideas?

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The equation $f(x)=0$ is the standard form. The more general form $g(x)=\alpha$ can be reduced to the standard form by the definition $f(x) = g(x) - \alpha$. There are no pressing reasons to prefer one over the other.