# How do you solve #2x^2+3x>0#?

##### 1 Answer

#### Explanation:

The trick is to note that the sign of a polynomial expression can only be different at two points if the expression evaluates to

Solving for where it is

# <=> x=0 or 2x+3=0#

# <=> x=0 or x= -3/2#

Thus the intervals in question are

From here, we can just test a point in each to see what the sign of the expression will be:

Thus

Thus

Thus

Putting it together, then,