The product of a positive number and 14 more than seven times the number is 105. find the two numbers. first number = and second number =

Let the positive number be 

The expression is
⇒ expanding the bracket gives,
 ⇒ rearranging to equate one side to zero
 ⇒ Dividing each term by 7 to simplify
 ⇒ Factorising gives

and 

Hence, the first number is -5 and the second number is 3