Algebra-2

To solve the equation by factoring, we start by rearranging it into standard form:

 

Step 1: Substitution

Let's use a substitution to simplify the expression. Let:

 

This gives us:

 

Step 2: Factor the Quadratic

Now, we need to factor the quadratic equation . We look for two numbers that multiply to -9 and add to 8. The numbers 9 and -1 satisfy this condition:

 

Step 3: Solve for

Setting each factor to zero gives us:

 

 

Step 4: Substitute Back for