Hello!
The general form of the quadratic equation is [tex]f(x) = ax^{2} + bx + c[/tex], or sometimes may appear as [tex]ax^{2} + bx + c = 0[/tex].
So, the first thing to do is look at the equation you provided, and identify the different elements (a, b, and c).
Your equation is [tex]5x^{2} = 6 - 9x [/tex]. The [tex]5x^{2} [/tex] is the a term, the 6 is the c term, and the 9x is the b term.
Now, all we have to do is rearrange the terms in the order which they need to appear in the general form.
[tex]5x^{2} = 6 - 9x[/tex]
[tex]5x^{2} - 5x^{2} = 6 - 9x -5x^{2} [/tex]
[tex]0 = -5x^{2} -9x + 6[/tex]
And there you have it, the quadratic equation is now in general form!
Hope this helps, let me know if there's anything else I can do!
