You can put this solution on YOUR website! 16x^2 +25y^2 =150y+175 find the center
complete the square:
16x^2+25y^2-150y=175
16x^2+25(y^2-6y+9)=175+225
16x^2+25(y-3)^2=400
This is an equation of an ellipse with horizontal major axis with center at (0,3)