If user input is inserted without modification into an SQL query, then the application becomes vulnerable to SQL injection, like in the following example:
$unsafe_variable = $_POST['user_input'];
mysql_query("INSERT INTO `table` (`column`) VALUES ('$unsafe_variable')");
That’s because the user can input something like value'); DROP TABLE table;--, and the query becomes:
INSERT INTO `table` (`column`) VALUES('value'); DROP TABLE table;--')
As @sibtertius says, preparing the query properly is the correct solution. Note that simply preparing the existing query is not sufficient, you need to actually use proper parameterization.
Also, mysql_ was deprecated in PHP 5.5, and removed from PHP in 7.0. You at the very least should be using mysqli_ , if not PDO.