Final Answer
Step-by-step Solution
Specify the solving method
Find the break even points of the polynomial $\frac{x^2+x-2}{x^2+5x+6}$ by putting it in the form of an equation and then set it equal to zero
Factor the trinomial $x^2+5x+6$ finding two numbers that multiply to form $6$ and added form $5$
Thus
Factor the trinomial $x^2+x-2$ finding two numbers that multiply to form $-2$ and added form $1$
Thus
Simplifying
Multiply both sides of the equation by $x+3$
We need to isolate the dependent variable , we can do that by simultaneously subtracting $-1$ from both sides of the equation
Canceling terms on both sides
Verify that the solutions obtained are valid in the initial equation
The valid solutions to the equation are the ones that, when replaced in the original equation, don't make any denominator equal to $0$, since division by zero is not allowed