$\text{5. 3x.(x - 2008)- x +2008=0}$

`<=>3x(x - 2008) - (x - 2008)=0`

`<=>(3x - 1)(x - 2008)=0

`<=>3x - 1=0`

        `x - 2008=0`

`<=>3x=1`

        `x=2008`

$\text{<=>x=}$ `1/3`

        `x=2008`

`1. x^2 + 6x + 5=0`

`<=>x^2 + 5x + x + 5=0`

`<=>x(x + 5) +(x + 5)=0`

`<=>(x + 1)(x + 5)=0`

`<=>x + 1=0`

        `x+5=0`

`<=>x=-1`

        `x=-5`

`2. x^3 - 9x=0`

`<=>x(x^2 - 9)=0`

`<=>x(x - 3)(x + 3)=0`

`<=>x=0`

       `x - 3=0`

       `x + 3=0`

`<=>x=0`

        `x=3`

         `x=-3`

`3. x^2 + 25=10x`

`<=>x^2 + 25 - 10x=0`

`<=>(x - 5)^2=0`

`<=>x - 5=0`

`<=>x=5`

`4. (2x - 3)(3 - 4x)=0`

`<=>2x - 3=0`

        `3 - 4x=0`

`<=>2x=3`

        `-4x=-3`

`<=>x=3/2`

        `x=3/4`

`6.x^2 - 6x + 9=0`

`<=>(x - 3 )^2=0`

`<=>x - 3=0`

`<=>x=3`

1) x^2 +6x+5=0

x^2 +5x+x+5=0

x(x+5) +(x+5) =0

(x+5) (x+1) =0

*x+5=0       *x+1=0

=> x = -5     => x=-1

2) x^3-9x=0

x(x^2-9) =0

*x=0  *x^2-9=0

            x^2=9

            x=-3, 3

3) x^2+25=10x

 x^2+25-10x=0

x^2-10x+25=0

(x-5)^2=0

x-5=0

x= 5

4) (2x-3) (3-4x) =0

*2x-3=0      *3-4x=0

x=3/2           x=3/4

5) 3x(x-2008)-x+2008=0

3x(x-2008) -(x-2008) =0

(x-2008) (3x-1) =0

*x-2008=0     *3x-1=0

x=2008            x=1/3

6) x^2-6x+9=0

(x-3)^2=0

X-3=0

X=3