Answer:
[tex]k = \frac{12}{5}[/tex] or [tex]k=-3[/tex]
Step-by-step explanation:
[tex]5k^{2} +3k-33 = 3[/tex]
[tex]5k^{2}+3k - 36=0[/tex]
[tex](5k-12)(k+3)=0[/tex]
[tex]5k-12=0[/tex]
[tex]5k = 12[/tex]
[tex]k = \frac{12}{5}[/tex]
[tex]k + 3 = 0[/tex]
[tex]k=-3[/tex]