Question

If there are more than enter DNE. (3)/(q+4)-(4)/(q+5)=(2)/(q^(2)+9q+20) q

Answer 1

To solve the equation, multiply every term by the common denominator, simplify and combine like terms, and isolate q on one side of the equation. The solution is q = -2 or q = -5.

Step-by-step explanation:

To solve the equation: (3)/(q+4)-(4)/(q+5)=(2)/(q^(2)+9q+20)

1. Multiply every term by (q+4)(q+5)(q^2+9q+20) which is the common denominator.
2. Simplify and combine like terms on both sides of the equation.
3. Solve for q by isolating it on one side of the equation.

Therefore, the solution is q = -2 or q = -5.