Question

Solve

2k(-3k + 4) + 6(k2 + 10) =k(4k + 8) - 2k(2k + 5).

Check your solution.

Answer 1

`k=(-52)/(18) \approx -2.89` (2dp)

Explanation:

`2k(-3k + 4) + 6(k^2 + 10) =k(4k + 8) - 2k(2k + 5)`

Expand brackets:

`-6k^2+8k+6k^2+60=4k^2+8-4k^2-10k`

simplify:

`8k+60=8-10k`

Collect terms:

`18k=-52\\`

Rearrange for k:

`k=(-52)/(18)`