Solve the equation k (k - 6) = 14-k.

k = - 2, k = 7

Step-by-step explanation:

Given

k (k - 6) = 14 - k ← distribute left side

k² - 6k = 14 - k (subtract 14 - k from both sides)

k² - 5k - 14 = 0 ← in standard form

(k - 7) (k + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

Answer: k^2=5k-14=0 is the answer