Algebra-2

To solve the equation by factoring, we first rearrange it to set it to zero:

 

Next, we can factor out the greatest common factor (GCF), which is :

 

This gives us one solution immediately:

Now we need to factor the quadratic . We look for two numbers that multiply to 3 (the constant term) and add to 4 (the coefficient of x). The numbers that satisfy this condition are 1 and 3.

Thus, we can rewrite the quadratic as:

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