Solve the quadratic equation by factoring. 7K^2-6k+3=3

We make one side zero

subtract 3 from both sides

7k^2-6k=0

factor out k

(k) (7k-6) = 0

set each to zero

k=0

7k-6=0

add 6 to both sides

7k=6

diivde by 7

k=6/7

k=0 or 6/7

Subtract 3 to get:

7k^2-6k=0

Clearly, we can factor out a k to find that:

k (7k-6) = 0

If either k or 7k-6 is zero, the whole expression is zero, so our solutions are zero and 6/7.