Answer:
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
