I have the equation
$t - (m-q)^2 = v - (m-p)^2$
which I would like to rearrange to be able to apply the quadratic formula, and solve in terms of $q$. Accordingly, it needs to be in the form:
$ax^2 + bx +c = 0$
I have got as far as:
$(t-v)-(m-q)^2 + (m-p)^2 = 0$
$(t-v)-m^2 - q^2 + 2mq + m^2 +p^2 - 2mp = 0$
$(t-v) - q^2 + 2mq +p^2 - 2mp = 0$
But am now stuck.
Can anyone suggest a way forward? Or, as is likely, point out where I've gone wrong?
Thanks very much!