Prepare to add a number to each side of the equation that will make the left side of the equation a perfect square trinomial. I like to add a blank space to each side to set this up. Notice that in the process of completing the square, the coefficient of x^2 MUST BE 1.
Now, to make the perfect square trinomial, you need to take HALF of the coefficient of x, which is -4. Half of -4 is -2, and then SQUARE the -2, which is +4. Add PLUS 4 to each side of the equation:
Next, take the square root of each side:
Finally, add +2 to each side to isolate the x term:
This really means:
x= 2+3 = 5 OR
x= 2-3 = -1
R^2 at SCC
P.S. Of course, factoring WOULD have been a LOT easier!!!