structural:scholar_edition, stylistic:tone, structural:expansion, stylistic:style_transfer
Solution of an equation

Every equation in the unknown x {\displaystyle x} may be rewritten as

by regrouping all the terms in the left-hand side. It follows that the solutions of such an equation are exactly the zeros of the function f {\displaystyle f}. In other words, a "zero of a function" is precisely a "solution of the equation obtained by equating the function to 0", and the study of zeros of functions is exactly the same as the study of solutions of equations.