Given equation : [tex]2x^2-3=-6x-2[/tex].
We need to write it in standard form [tex]ax^2+bx+c=0[/tex]
First we need to get rid -2 from right side.
Adding 2 on both sides we get
[tex]2x^2-3+2=-6x-2+2[/tex]
[tex]2x^2-1 = -6x[/tex]
Now, we need to get rid -6x from right side to get 0 on rigth side.
Adding 6x on both sides we get
[tex]2x^2-1+6x = -6x+6x[/tex]
[tex]2x^2+6x-1=0[/tex]