3x/2+18x=0

To solve the equation \( \frac{3x}{2} + 18x = 0 \), follow these steps:

1. Start by getting rid of the fraction by multiplying every term by 2: \[ 2 \left( \frac{3x}{2} \right) + 2(18x) = 0 \] This simplifies to: \[ 3x + 36x = 0 \]

2. Combine like terms: \[ 39x = 0 \]

3. To isolate \( x \), divide both sides by 39: \[ x = 0 \]

Thus, the solution to the equation \( \frac{3x}{2} + 18x = 0 \) is: \[ \boxed{0} \]