I have an equation of the following form
\begin{align} A + B x + C y + D z = (E x + F y + G z) t \end{align}
where $x, y, z, t$ are square roots of some other term and rest coefficients are constant. I want an equation containg $x^2, y^2, z^2, t^2$. I started by squaring the terms but after few steps terms get messed up.
Anyone if can help me or suggest some nice way to rearrange so that above equation can be transformed into an equation containing $x^2, y^2, z^2, t^2$.