A quadratic equation is an equation with a squared/second degree term. IN a quadratic equation, the degree must be no higher than 2 and must be able to be written as:
where a, b, and c are coefficients and x is the variable.
To solve a quadratic equation by factoring, we need to factor the equation the same as we would factor any other trinomial by finding two numbers that multiply to give c and add to give b.
Ex. 
Identify the coefficients a, b, and c. In this case, a = 1, b = 5, and c = 6.
Then you find two numbers that multiply to give c (6) and add to give b (5). In this case, we can use 2 and 3: 
Then you use the two numbers to factor the quadratic equation.
Now that our trinomial is factored, we need to solve x. To solve x, we can use the rule that anything multiplied by 0 will equal 0 meaning that if one of our binomials equaled 0, the whole equation would equal 0.
What we need to do now is to get any of our binomials to equal 0
This shows that we have multiple answers being:
Now we just verify our solution by substituting our answer(s) into x.
Easy.
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