Find the Domain AX+BX=-C+D

Problem

A*X+B*X=−C+D

Solution

1. Factor the variable X from the left side of the equation.

X*(A+B)=−C+D

2. Isolate the variable X by dividing both sides by the expression (A+B)

X=(−C+D)/(A+B)

3. Identify the restriction for the domain of the expression. In a rational expression, the denominator cannot be equal to zero.

A+B≠0

4. Determine the condition for the variables A and B that allows the equation to have a solution for X

A≠−B

Final Answer

Domain: *{(A,B,C,D)∈ℝ4:A+B≠0}

Want more problems? Check here!