Solve the following using the factorization method x/1 -( x + 3) / x + 3/x equals to 5/1

Answer 1

To solve the equation using the factorization method, we need to find a common denominator for all three terms:

x/1 - (x + 3)/x + 3/x = 5/1

For the first term, x/1, the denominator is 1. For the next two terms, (x + 3)/x and 3/x, the common denominator is x.

Thus, the equation becomes:

x/x - (x + 3)/x + 3/x = 5

(Using a common denominator of x)

Now, we can simplify the equation:

1 - (x + 3) + 3 = 5
1 - x - 3 + 3 = 5
1 - 3 = 5
-2 = 5

Since -2 is not equal to 5, the original equation x/1 - (x + 3)/x + 3/x = 5/1 has no solution.