Answer:
k = 0 or 8
Step-by-step explanation:
First, get the variables and constants on their side.
-4k^2 + 5k^2 - 8k = -3 + 3 Now simplify
k^2 - 8k = 0 Factor
k(k - 8) = 0 Solve
k = [0, 8]
If you want you can double check your answer by plugging in the values you got. First, 0.
0 - 0 - 3 = -3 - 0
-3 = -3. That works, so we know 0 is correct. Now 8
-4(64) - 8(8) - 3 = -3 - 5(64)
-256 - 64 - 3 = -3 - 320
-320 - 3 = -323
-323 = -323 That also works, so we know 8 is correct.
