Example 9:  Solve x2 + 3 = 4x

Solution:  First subtract 4x from both sides to get:

 x2 – 4x + 3 = 0

Then factor the left side:

(x – 1)(x – 3) = 0

Now set each factor to 0 and solve:

x – 1 = 0   -->  x = 1

x – 3 = 0   -->  x = 3