# can this equation be solved for x or it impossible?

• Apr 18th 2009, 09:04 AM
bdud
can this equation be solved for x or it impossible?
can this equation be solved for x or is it impossible?

x(y) + z + x(w) = t + t(y) + z + t(w)

trying to get to x = ...?
• Apr 18th 2009, 09:25 AM
Soroban
Hello, bdud!

Quote:

can this equation be solved for x or is it impossible?

. . $xy + z + xw \:=\: t + ty + z + tw$

Well, we can subtract $z$ from both sides:. $xy + xw \:=\:t + ty + tw$

Now this situation arises quite often in mathmatics ... get used to it.

Factor: . $x(y + w) \:=\:t(1 + y + w)$

Divide by $(y+w)\!:\quad x \;=\;\frac{t(1+y+w)}{y+w}\quad\hdots$ . See?