10

5

25

100

4

-6

6

3

Subtract 5 from both sides, set it equal to 0

Divide the 8 by 2

Divide the 8 by 2 and square it

Multipiy 2 and 5

Set the equation equal to zero 

Divide the -6 by 2 and square it

Move the -6x to the other side, put "x" terms together on one side

Find factors of 11 that add to 6

 $x=\left\{-1,\ -5\right\}$  

 $x=2\pm i$  

 $x=-2\pm i$  

 $x=-2\pm3i$  

 $\frac{3}{2}\pm\frac{\sqrt{29}}{2}$  

 $-\frac{3}{2}\pm\frac{\sqrt{29}}{2}$  

 $\frac{3}{2}\pm\frac{i\sqrt{11}}{2}$  

 $-\frac{3}{2}\pm\frac{i\sqrt{11}}{2}$  

It's faster than factoring

It gives you real solutions

The problem cannot be solved by factoring

You can have more than three terms

$3x^2-7x+5=0$

$$x^2+4x-7=0

 $\left(x+4\right)^2=5$  

 $\left(x+4\right)^2=21$  

 $\left(x+4\right)^2=9$  

 $x^2=-\left(8x-5\right)$  

1

i

-1

-i

 $1\pm\frac{\sqrt{6}}{3}i$  

 $-1\pm\frac{\sqrt{6}}{3}i$  

 $1\pm2i$  

 $-1\pm2i$