I have an equation,
$-(x_m - x_q)^2 = -(x_m - x_p)^2$
which I want to solve in terms of $x_q$. I can see (by using a number line) that $q$ can have two solutions:
$x_q = x_p$
$x_q = 2x_m-x_p$
But I'd really like to be able to understand the algebra that could lead me to this. Could anyone walk me through it? Or, alternatively, direct me to the right resources to be able to work out the solution? Afraid I'm very new to all this and so realise this question is totally naive!