Question

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

smaller x=?
larger x=?

Answer 1

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.

Answer 2

x=2 and x=3

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