Question

How do I solve for x?
4x + 10yz = 0

Answer 1

You have 3 unknowns here. You can only solve for any unknown if you have 3 or more equations. What you can do with this though, is solve x in terms of the other unknowns.

So do what you would do with any equality. Subtract both sides by 10yz:
4x + 10yz -10yz = 0 - 10yz
4x = -10yz

Then divide both sides with 4:
4x/4= -10yz/4
x = -10yz/4 = -5/2yz = -2 1/2yz

Answer 2

So not really finding x? Just finding x in terms of y and z?!

Answer 3

Yes. It's also called rewriting x in terms of y and z. You can only get a value for x if you have 3 equations as I said, or if you have y and z.