Algebra-2

To solve the equation

we can start by rearranging it to set it to zero:

 

Step 1: Make a Substitution

Let . Then, we can rewrite the equation as:

 

Step 2: Factor the Quadratic

Now we need to factor the quadratic . We look for two numbers that multiply to -12 and add to -4. The numbers that satisfy these conditions are -6 and 2.

Thus, we can factor the quadratic as:

 

Step 3: Set Each Factor Equal to Zero

Now we set each factor equal to zero:

From :

 

From :

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