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

Answer 1

To solve the equation x/1 - (x + 3)/x + 3/x = 5/1 , we will first find a common denominator for all the fractions involved.

x/1 - (x + 3)/x + 3/x = 5/1
=> x/x - (x^2 + 3)/x + 3/x = 5

Now, combine the fractions:

(x - x^2 - 3 + 3)/x = 5
=> (1 - x)/x = 5

Next, cross multiply to eliminate the fractions:

1 - x = 5x
=> 1 = 6x
=> x = 1/6

Therefore, the solution to the equation is x = 1/6.