I know the basics of rearranging formulas but I am not really sure how to rearrange a more complicated formula. I am trying to rearrange a thermal conductivity formula to solve for T1, but I am not really sure how. I someone could walk me through it that would be great.

Q/T= KA(T1-T2)/d

Am I doing this write?

Q/T - T1= KA(T1- T1 - T2)
----- ----------------------
Q/T Q/T (d)


to become


-T1 = KA-T2
---------
Q/T (d)

Not quite right. It looks like you are trying to get the T1 term by itself, correct? Starting with:


\frac Q T = \frac {KA (T_1-T_2)} d


Multiply both sides by d:


\frac {dQ} T = \frac {KA (T_1 -T_2)} {\cancel {d}} \times \cancel {d} = KA(T_1-T_2)


Then expand the right hand side:


KA(T_1-T_2) = KAT_1 - KAT_2


So you now have:

\frac {dQ} T = KAT_1 - KAT_2


Now add KAT_2 to both sides:


\frac {dQ} T + KAT_2 = KAT_1 - \cancel{KAT_2} + \cancel{KAT_2} = KAT_1


Finally divide both sides by KA:


\frac {dQ}{TKA} - \frac {\cancel{KA}T_2}{\cancel{KA}} = T_1


Rearranging:


T_1 = \frac {dQ}{KAT} +T_2