To solve this equation, we first need to rewrite it in a more simplified form:

(x^2 + 6x + 8) / (5x + 10) = 0

We start by factoring the numerator:

(x^2 + 6x + 8) = (x + 4)(x + 2)

Now we rewrite the equation:

((x + 4)(x + 2)) / (5(x + 2)) = 0

Next, we simplify the equation further by canceling out common factors:

(x + 4) / 5 = 0

Now we solve for x by multiplying both sides by 5:

x + 4 = 0

Subtracting 4 from both sides:

x = -4

Therefore, the solution to the equation is x = -4.