Algebra-2

To solve the equation

we can start by simplifying the equation.

 

Step 1: Factor out the common factor

First, notice that we can factor out a common factor of 2 from the entire equation:

.

 

Now, we can simplify our equation to:

 

Step 2: Make a substitution

Next, let’s make a substitution to simplify the polynomial. Let . Then the equation becomes:

 

Step 3: Factor the quadratic

Now we need to factor the quadratic equation . We want to find two numbers that multiply to 2 and add to -3. The correct factors are -1 and -2:

 

Step 4: Set each factor equal to zero

Now we can set each factor equal to zero:

From :

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