//I will only be using < instead of less than or equal to for this, as its quicker.
Move all over to LHS to have only one side of an inequality with "x".
3x^2 - 4x - ((6x^2 - 3x + 5)/10) < 0.
30x^2 - 40x - 6x^2 + 3x - 5 < 0
24x^2 - 37x -5< 0
So x is between -0.125 and 1.666...
The only integer solutions are 0 and 1, therefore there are 2 solutions.