Step-by-step explanation:
[tex]12 {x}^{2} + 9 = - 6x[/tex]
[tex]12 {x}^{2} + 6x + 9[/tex]
Find the discrimant of the function.
[tex]{b {}^{2} - 4ac } [/tex]
[tex] {6}^{2} - 4(12)(9)[/tex]
[tex]36 - 432 = - 396[/tex]
Since -396 is less than 0, there is no real roots. There is only complex roots.
