Question 482516
This problem can be solved by factoring:

more specifically by factoring out a common term.

In this case: 3x^2+2x=0, we can factor out an x, since it is common to both 3x^2 and 2x.


This results in: x(3x+2)=0.

Now we simply set each term to equal zero like so:

x=0

3x+2=0

Now solve for x,

Oviously, x=0, thats on solution

The second solution comes from 3x+2=0. First subtract 2 from both sides, giving us 3x=-2. Then divide both sides by 3, resulting in x=-2/3.

Our solution are :

x=0 and x=-2/3