Algebra-2

To solve the equation by factoring, we first rearrange it into standard form:

 

Step 1: Substitution

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

 

Then, the equation becomes:

 

Step 2: Factor the Quadratic

Now, we need to factor the quadratic equation . We are looking for two numbers that multiply to -64 and add to -12. The numbers -16 and 4 satisfy this condition:

 

Step 3: Solve for

Setting each factor to zero gives us:

 

 

Step 4: Substitute Back for

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