Question

Solve 2k(-3k + 4) + 6(k2 + 10) =k(4k + 8) - 2k(2k + 5). Check your solution.

Answer 1

Answer:

$k=\frac{-52}{18} \approx -2.89$ (2dp)

Step-by-step 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:

$k=\frac{-52}{18}$