To solve the equation
we can start by making a substitution to simplify the equation. Let . This transforms our equation into a quadratic in terms of :
Step 1: Factor the Quadratic
Next, we need to factor the quadratic . We want to find two numbers that multiply to 16 and add up to -10. The correct factors are -8 and -2:
Step 2: Set Each Factor Equal to Zero
Now, we can set each factor equal to zero:
From :