Write the quadratic in standard form: (ax^2 + bx + c = 0)
Find two numbers that multiply to (a cdot c) and add to (b)
Split the middle term using those two numbers
Group the terms into pairs
Factor out the greatest common factor from each pair
Factor out the common binomial
Set each factor equal to zero if solving the equation
Solve each resulting linear equation
Check the factors by multiplying them back together