To solve the equation by factoring, we first rearrange it into standard form:
Next, we can factor out the common term :
Now we can set the first factor equal to zero:
From :
Next, we need to factor the quadratic . To factor this quadratic, we look for two numbers that multiply to and add to 1 (the coefficient of x). The numbers 4 and -3 work.
Now we can rewrite the quadratic:
Now we group and factor by grouping:
Factoring each group: