Answer:
[tex]x=-3\:or\:x=\frac{3}{2}[/tex]
Step-by-step explanation:
The given parabola has equation
[tex]2x^2+5x-9=2x[/tex]
We rewrite in standard form to obtain:
[tex]2x^2+5x-2x-9=0[/tex]
[tex]2x^2+3x-9=0[/tex]
Split the middle terms to get:
[tex]2x^2+6x-3x-9=0[/tex]
Factor by grouping:
[tex]2x(x+3)-3(x+3)=0[/tex]
[tex](x+3)(2x-3)=0[/tex]
[tex]x=-3\:or\:x=\frac{3}{2}[/tex]
