SOLUTION: Find the nonpermissible replacement for the variable in this expression. 5x ----- 6x+3

Algebra ->  Rational-functions -> SOLUTION: Find the nonpermissible replacement for the variable in this expression. 5x ----- 6x+3      Log On


   

Question 806668: Find the nonpermissible replacement for the variable in this expression.
5x
-----
6x+3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You CANNOT divide by zero. So 6x+3 cannot be zero. If it were, then...

6x+3 = 0

6x = -3

x = -3/6

x = -1/2

So if x = -1/2, then the denominator 6x+3 is 0. This is why x = -1/2 is the value that's not allowed (to avoid division by zero)