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 = ...?

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- Apr 18th 2009, 09:04 AMbdudcan 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 AMSoroban
Hello, bdud!

Quote:

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

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

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

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

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

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