7k^2-6k+3=3

7k^2-6k+3=3

7k^2 - 6k = 0

7k^2 = 6k

7k = 6

k = 6/7

To solve the equation 7k^2 - 6k + 3 = 3, we can follow these steps:

Step 1: Start by subtracting 3 from both sides of the equation to remove the constant term:
7k^2 - 6k + 3 - 3 = 3 - 3
This simplifies to: 7k^2 - 6k = 0.

Step 2: Next, we want to combine like terms on the left side of the equation, so we set the equation equal to 0:
7k^2 - 6k = 0.

Step 3: Now, notice that in this equation, we have a common factor, which is k. We can factor it out:
k(7k - 6) = 0.

Step 4: To find the values of k, we set each factor equal to 0 and solve for k:
k = 0 or 7k - 6 = 0.

For k = 0, you can clearly see that k equals 0.

For 7k - 6 = 0, we can solve for k by adding 6 to both sides of the equation:
7k - 6 + 6 = 0 + 6
This simplifies to: 7k = 6.

Finally, divide both sides of the equation by 7 to isolate k:
k = 6/7.

Thus, the solutions to the equation 7k^2 - 6k + 3 = 3 are k = 0 and k = 6/7.