Solve for x

(3x-6) (-x+3) - 0

smaller x=?

larger x=?

x=2 and x=3

Step-by-step explanation:

(3x-6) (-x+3) = 0

We can use the zero product property to solve for x

3x-6 = 0 and - x+3 = 0

3x-6 = 0

Add 6 to each side

3x-6+6 = 6

3x=6

Divide by 3

3x/3 = 6/3

x = 2

-x+3 = 0

Add x to each side

-x+x+3 = + x

3 = x

Do you mean to say = 0? If so, you set:

3x - 6 = 0

and

-x + 3 = 0

So:

3x = 6 which means x = 2

and

3 = x.

The larger x is 3 and smaller x is 2.