What is the solution to the equation m/m+4 + 4/4-m = m^2/m^2-16?

m = - 2

Step-by-step explanation:

The solution is m = - 2

Step-by-step explanation:

The given rational equation is

We'll simplify the left hand side first.

The LCD is (m+4) (4-m)

Hence, multiply and divide the first term by 4-m and second by m + 4

Use the difference of squares rule

We can now add the numerator

On simplifying, we get

Add the like terms

Multiply and divide left hand side by - 1

We can cancel the denominator

Divide both sides by 8

The solution is m = - 2