Find the Domain (x^2+6x)/10=x/5

Problem

(x2+6*x)/10=x/5

Solution

1. Identify the type of equation. This is a rational equation where the denominators are constants (10 and 5.

2. Check for variables in the denominators. Since there are no variables in any denominator, there are no values of x that would make a denominator equal to zero.

3. Determine the domain based on the expression. For any polynomial or rational expression with non-zero constant denominators, the function is defined for all real numbers.

4. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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