To solve for x in the equation 3/4x + 25/4 + 4/3x = 0, we need to combine like terms and simplify the equation.

First, let's find a common denominator for the fractions:

3/4x + 25/4 + 4/3x

The common denominator is 12, so we can rewrite the equation as:

9/12x + 75/12 + 16/12x = 0

Now, combine the x terms:

25/12x + 75/12 = 0

Combine the constants:

25/12x = -75/12

Now, let's isolate x by multiplying both sides by 12/25:

x = $-75/12$ * $12/25$

x = -75/25

x = -3

Therefore, the solution to the equation 3/4x + 25/4 + 4/3x = 0 is x = -3.