1. The problem is to solve the equation $$|x+4| = 0$$. 2. Recall that the absolute value of a number is zero only when the number itself is zero. 3. So, set the expression inside the absolute value equal to zero: $$x + 4 = 0$$ 4. Solve for $$x$$ by subtracting 4 from both sides: $$x = -4$$ 5. Therefore, the solution to the equation $$|x+4|=0$$ is $$x = -4$$.