The equation provided is:

$|5x + 4| = -3$

To solve this, we first need to recall an important property of absolute values:

$|A| \geq 0$

An absolute value expression is always non-negative, meaning it can never be negative. Therefore, an equation like $|5x + 4| = -3$ has no solution because the absolute value on the left-hand side can never equal a negative number.

Thus, the solution set for this equation is the empty set.

Would you like further details on absolute value equations? Let me know if you have any other questions!

Here are 5 related questions:

1. What is the general method to solve absolute value equations?
2. How can we handle inequalities with absolute values?
3. Can absolute value equations ever have no solutions, and why?
4. What happens if the right-hand side of the equation was a positive number?
5. How would we approach solving an equation like $|5x + 4| = 3$?

Tip: Always check the properties of absolute values first when solving related equations.