Solve the following equation. Write your answer in reduced fraction form, if necessary.

The equation `(7x+4)(x−6)=0` can be solved by setting each factor equal to zero and solving for `x`.

Setting `7x+4` equal to zero gives: `7x+4 = 0`
Solving for `x`, we subtract 4 from both sides of the equation: `7x = -4`
Then, divide both sides by 7: `x = -4/7`

Setting `x−6` equal to zero gives: `x−6 = 0`
Adding 6 to both sides of the equation: `x = 6`

Therefore, the solutions to the equation are `x = -4/7` and `x = 6`.