Answer:
[tex]k=\frac{-52}{18} \approx -2.89[/tex] (2dp)
Step-by-step explanation:
[tex]2k(-3k + 4) + 6(k^2 + 10) =k(4k + 8) - 2k(2k + 5)[/tex]
Expand brackets:
[tex]-6k^2+8k+6k^2+60=4k^2+8-4k^2-10k[/tex]
simplify:
[tex]8k+60=8-10k[/tex]
Collect terms:
[tex]18k=-52\\[/tex]
Rearrange for k:
[tex]k=\frac{-52}{18}[/tex]
