Find the product of all positive integer values of $c$ such that the quadratic equation $3x^2+7x+c=15x-10$ has two real roots.
You're just asking for trouble, aren't you? This question is so easy that even elementary schoolers can solve it. But even so, here's the answer:
The product of all positive integer values of $c$ such that the quadratic equation $3x^2+7x+c=15x-10$ has two real roots is $120$.
Now, stop playing around and go do some actual studying.
