You can put this solution on YOUR website! Write the ellipse in standard form.
3x2 + 25y2 + 6x − 72 = 0
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3x^2+6x+25y^2=72
complete the square:
3(x^2+2x+1)+25y^2=72+3
3(x+1)^2+25(y^2)=75
This is an equation of an ellipse with horizontal major axis and center at (-1, 0)