Does anyone know why in the equation produced by the following code, the plus signs at the end of the first and second lines have less space on their left sides compared to the other plus signs? and how I can fix that without manually entering additional space there?
\documentclass[11pt,onecolumn]{article}
\usepackage{mathtools}
\begin{document}
\begin{equation}
\begin{split}
\Phi_i=&K_{i_1}\,_{ }^{C_j}\textrm{X}^2 + K_{i_2}\,_{ }^{C_j}\textrm{Y}^2 + K_{i_3}\,_{ }^{C_j}\textrm{Z}^2 + \\
&K_{i_4}\,_{ }^{C_j}\textrm{X}\,_{ }^{C_j}\textrm{Y} + K_{i_5}\,_{ }^{C_j}\textrm{X}\,_{ }^{C_j}\textrm{Z} + K_{i_6}\,_{ }^{C_j}\textrm{Y}\,_{ }^{C_j}\textrm{Z} + \\
&K_{i_7}\,_{ }^{C_j}\textrm{X} + K_{i_8}\,_{ }^{C_j}\textrm{Y} + K_{i_9}\,_{ }^{C_j}\textrm{Z}+K_{i_{10}}=0
\end{split} \hspace{.6cm} i=1,2 \quad j=
\begin{cases} 1 &\mbox{if } i=2 \\
2 & \mbox{if } i=1. \end{cases}
\end{equation}
\end{document}
