1. The problem is to find one solution to the equation $$3x(x - 4)(x + 5) = 0$$. 2. The zero product property states that if a product of factors equals zero, then at least one of the factors must be zero. So, we set each factor equal to zero: $$3x = 0$$ $$x - 4 = 0$$ $$x + 5 = 0$$ 3. Solve each equation: - For $$3x = 0$$, divide both sides by 3: $$\cancel{3}x = \cancel{3}0 \Rightarrow x = 0$$ - For $$x - 4 = 0$$, add 4 to both sides: $$x = 4$$ - For $$x + 5 = 0$$, subtract 5 from both sides: $$x = -5$$ 4. The solutions are $$x = 0$$, $$x = 4$$, and $$x = -5$$. 5. Among the options given, the correct solution is B. 0. Therefore, one solution to the equation is $$\boxed{0}$$.