The two lines (-4x) and (-2x^2+120x) meet. As you can see, one is a quadratic function and the other is a linear function.

I would like to know the x and y intercepts ofquadrant IV.

I tried to set both functions equal to each other and calculated both coordinates of x and y using the quadratic formula. The results are (0,0) and (62,0). But these answers do not provide the other intercept that -2x^2+120x creates when meeting -4x in quadrant IV.

Can someone tell me how to find this said x and y coordinate?