I solved a matrix as follows:

{{0,1,1},{0,2,4},{0,3,9}}.{{0},{25},{20}}

Resulting:

{{45},{130},{255}}

I tried to use an inverse matrix to solve:

Inverse[{{0,1,1},{0,2,4},{0,3,9}}].{{45},{130},{255}}

Wishing the following solution:

{{0},{25},{20}}

But this matrix is singular:

How should I proceed?