How to complete a square

Step-by-step explanation:

It is really easy once you understand the concept.

Let's start with an easy example.

x^2+6x=-2

Add 9 on both sides to get a perfect square

x^2+6x+9=7

Then factor on the left

(x+3) ^2=7

Then get the square root

x+3=+7 x+3=-7

x=4 x=-10

Another example.

x^2+12x+32=0

Subtract 32 from both sides

x^2+12x=-32

Add 36 on both sides to get a perfect square

x^2+12x+36=4

Factor

(x+6) ^2=4

Get the square root

x+6=2 x+6=-2

x=-4 x=-8

(Go to khan academy, they are good at explaining things)