I've been using
Simplify/FullSimplify to simplify some nasty equations, and by and large it does well but sometimes it rearranges equations in an unhelpful way.
Here's a simple example. Say
x is a positive number (standing in for some generally much more complicated factors),
I have an equation like
eq = x^2 (a + b - 2 c^2 b) == 0 eq // Simplify
a + b == 2 b c^2
But I don't want it to move terms from the
LHS to the
RHS, splitting up terms proportional to
b. I want them grouped together.
I can use
Collect to keep these terms together, but then I have no way of dividing out the
x^2. I could use
Collect then divide out the
x^2 manually, but the terms I'm using
x^2 to stand in for are quite unwieldy, and it would be quite laborious to do this case-by-case, especially when
Simplify does it right away.
My question: Is there any simple way to take
eq and output
a + b - 2c^2 b == 0 (* or *) a + (1-2c^2)b ==0
without explicitly specifying that I want to divide out
Simplify divides this out automatically)?