Quadratic equations can often be solved by factoring. To solve a quadratic equation by factoring, we need to follow these steps:

1. Write the equation in standard form, where one side is zero.
2. Factor the quadratic trinomial into two binomials.
3. Set each binomial equal to zero and solve for the variable.
4. Check the solutions by substituting them back into the original equation.

For example, let's solve the quadratic equation x^2 - 5x + 6 = 0 by factoring:

First, we rewrite the equation as (x - 2)(x - 3) = 0. Then, setting each binomial equal to zero, we have: x - 2 = 0 or x - 3 = 0. Solving these equations, we find x = 2 and x = 3. Finally, we substitute these values back into the original equation to ensure they are valid solutions.

Factoring is an important method for solving quadratic equations and it helps us understand the factors that contribute to the equation's solution. With practice, you'll become proficient in factoring quadratic equations and solving them quickly!