Question

How do you factor `3x^2 - 8x = -4`?

Answer 1

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

Explanation:

`"add 4 to both sides"`

`3x^2-8x+4=0larrcolor(blue)"in standard form"`

`"using the a-c method to factor the quadratic"`

`"the factors of the product "3xx4=12`

`"which sum to "-8" are "-6" and "-2`

`"split the middle term using these factors"`

`3x^2-6x-2x+4=0larrcolor(blue)"factor by grouping"`

`color(red)(3x)(x-2)color(red)(-2)(x-2)=0`

`"take out the "color(blue)"common factor "(x-2)`

`(x-2)(color(red)(3x-2))=0`