(different one)
factor 6x^2 - 10x - 4

We can first factor all the terms by 2:
6x^2 - 10x - 4=2(3x^2-5x-2)

Then we solve 3x^2-5x-2=0.

Discriminant : 25+4*3*2=49=7^2 hence the roots are (5-7)/6 and (5+7)/6 which are -1/3 and 2

Hence 3x^2-5x-2=(x-2)(3x+1)

Thus 6x^2-10x-4=2(x-2)(3x+1)

=

= =

= 6x(x-2)+2(x-2) =

= (x-2)(6x+2) =

= 2(x-2)(3x+1)

or

Let's solve the equation:

= 0

Discriminant:

Δ = = 196 =

The roots are:

x1 = = = 2

x2 = = =

so:

= 6(x-2)(x+) = (x-2)(6x+2) = 2(x-2)(3x+1)