List the elements of the set $\{X \in \mathbb Z \mid 4X^2 +11X = 0\}$

Question

I don't get this maths equation

Can anybody explain it ? Thanks

List the elements of the following set: $A=\{X \in \mathbb Z \mid 4X^2 +11X = 0\}$.

Answer 1

This means that $A$ is the set of all integers $x$ for which $4x^2 + 11x = 0$.

When you solve the equation $4x^2 + 11x = 0$ you will find that only $x = 0$ and $x = -\frac{11}{4}$ satisfy it. Since you're only looking for $x \in \mathbb{Z}$, you can conclude that $A = \{0\}$.