Factor

To factor the equation , we first analyze the quadratic expression inside the parentheses. Reordering it gives us . Next, we can factor this quadratic expression.

First, we look for two numbers that multiply to and add to . The numbers and fit perfectly! Thus, we can rewrite the quadratic as:

Now, grouping gives us:

Factoring out , we find:

This means . To finish, we can also simplify by factoring out a 2:

Thus, the complete factorization is:

Now, the solutions are .