Find the Domain 27-6/7x=-6/7x+27

Problem

27−6/(7*x)=−6/(7*x)+27

Solution

1. Identify the expression as an equation involving rational terms where the variable x appears in the denominator.

2. Determine the restriction for the domain by identifying values of x that would cause any denominator in the equation to equal zero.

3. Set the denominator 7*x equal to zero to find the excluded value.

7*x=0

4. Solve for x by dividing both sides by 7

x=0

5. State the domain as all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{[x∈ℝ,x≠0]}

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