To solve the equation, we can simplify it first:

3x(x - 7) - 2(x - 7) = 0

Expanding the terms:

3x^2 - 21x - 2x + 14 = 0

Combining like terms:

3x^2 - 23x + 14 = 0

Now, we can factor the quadratic equation:

(3x - 2)(x - 7) = 0

Setting each factor equal to zero:

3x - 2 = 0 or x - 7 = 0

Solving for x:

3x = 2 or x = 7

Dividing both sides by 3:

x = 2/3 or x = 7

Therefore, the solutions to the equation are x = 2/3 and x = 7.