Special case of nonsymmetric algebraic Riccati equation

Question

I have a variant of nonsymmetric algebraic Riccati equation where $D = 0$: $XAX + BX + C = 0$. All matrices are real. Additionally, $C$ is dioganal and all elements of $A$ are nonnegative.

1. There exists an analytical solution of this form of the equation?
2. There exist additional constraints on $A, B, C$ such that an analytical solution exists?