To solve the equation
we can start by making a substitution to simplify it. Let (). Then, we can rewrite the equation as:
Step 1: Factor the Quadratic
Now, we need to factor the quadratic . We look for two numbers that multiply to () and add to -5. The numbers are -4 and -1, so we can rewrite the equation as:
Step 2: Factor by Grouping
Now, we can group the terms:
Factoring each group, we have:
Now, factor out the common factor ():
Step 3: Set Each Factor Equal to Zero
Now we can set each factor equal to zero:
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