Final answer:
The value of 'x' that makes the denominator zero in the equation (8x)/(x+1)=2-(8)/(x+1) is x = -1. This value is not included in the solution set because it creates an undefined condition of division by zero.
Step-by-step explanation:
The question posed relates to finding the value or values of the variable that makes the denominator zero in the given fraction. To identify this, we should look at the denominator 'x + 1'. The value that makes this denominator zero is when 'x' is equal to '-1'. It's important to note that this value affects the domain of the function because 'x = -1' causes division by zero, which is undefined.
To solve the entire equation (8x)/(x + 1) = 2 - (8)/(x + 1), one would typically combine like terms and simplify. However, as we have already found the value that makes the denominator zero, we will not proceed with solving the full equation. Nevertheless, if the problem was to find the value of 'x' that satisfies the equation, one approach would be to multiply the entire equation by the denominator to eliminate the fractions, then rearrange terms and solve for 'x'. But remember, 'x = -1' is excluded from the solution set because it makes the denominator zero.