#### Answer

$$x=-\frac{1}{4},\:x=-\frac{1}{5},\:x=\frac{2}{3}$$

#### Work Step by Step

To solve the equation, we first factor the equation. Next, we set each of the factors equal to zero. Doing this, we find:
$$\left(4x+1\right)\left(5x+1\right)\left(3x-2\right) \\ x=-\frac{1}{4},\:x=-\frac{1}{5},\:x=\frac{2}{3}$$