Algebra-2

To solve the equation

we can start by making a substitution. Let . Then, the equation can be rewritten as:

 

Step 1: Factor the Quadratic

Next, we need to factor the quadratic equation . We look for two numbers that multiply to -8 and add to -2. The numbers that satisfy these conditions are 2 and -4.

Thus, we can factor the quadratic as:

 

Step 2: Set Each Factor Equal to Zero

Now, we can set each factor equal to zero:

From :

 

From :

 

Step 3: Substitute Back for

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