Solve by applying the zero product property 6kk2 5k 2 The

Solve by applying the zero product property. 6k(k+2) = 5k - 2 The solution set Is {}. (Separate your answers with commas)

Solution

Given 6k(k + 2) = 5k - 2

6k² + 12k - 5k + 2 = 0

6k² + 7k + 2 = 0

( 2k + 1 ) (3k + 2 ) = 0

apply zero pruduct rule

( 2k + 1 ) = 0 and (3k + 2 ) = 0

therefore k = -1/2 and k = -2/3

k = { -1/2 , -2/3 }