Answer: x = 15
Explanation:
First, you want to make an equation that fits the directions. product of x and number 8 less than x is (x)(x-8) and equals to 105 is (x)(x-8) = 105. Distribute the x and you get a quadratic. x^2 - 8x = 105. You then need to get 105 to the other side so you can factor. X^2 - 8x - 105 = 0. Now you can factor, the 2 factors are x+7 = 0 and x-15 = 0; thus the 2 answers would be -7 and 15. However, in the direction, it asks for a positive value of x so we would cross out -7 and 15 is our answer.
Hope this helps!