Rewrite each equation in one standard form of the conic sections and identify the conic section. Please show steps and explain :( Prof didn't go over this.
1) 4y^2+x^2 -2x=15
2) y^2+x^2-2x=0
3) 100x^2=25y^2+2500
4) 100y^2=2500-25x^2
5) 2x^2+4x+y=-7
6) 9x^2-18x+4y^2+16y=11
7) 100y^2+4x=x^2+104