Solve Quadratic Equations(Factoring)

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Solve the *quadratic equation* for $x$ by using the *factoring* method.$$x^{2}-12x+35= 0 $$

**Answer**

$x^{2}-12x+35= 0$

or, $(x-5)(x-7)= 0 $

or, $x-5= 0$ or, $x-7= 0$

or, $x=5$ or, $x=7$

There are two distinct solutions given by $x=5$ and $x=7$