Find the Domain 3/5=3/10d-12

Problem

3/5=3/(10*d−12)

Solution

1. Identify the expression as an equation involving a rational term where the variable d is in the denominator.

2. Recall that the domain of an expression or equation consists of all real numbers except those that make any denominator equal to zero.

3. Set the denominator of the right-hand side equal to zero to find the excluded value.

10*d−12=0

4. Solve for d by adding 12 to both sides.

10*d=12

5. Divide both sides by 10 to isolate d

d=12/10

6. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2

d=6/5

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

Final Answer

Domain: *{[d∈ℝ,d≠6/5]}

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