You've worked out the necessary information.
Curve has equation:
The point has coordinates (3,0) and lies on
Point also lies on , and the tangent at is parallel to the tangent at
Find the coordinates of
The derivative is: .
. . The slope of the tangent at is -7.
Where else is the slope of the tangent equal to -7 ?
. . Solve: .
So the tangent has slope -7 when (we know!) . . . and when
. . Therefore, the coordinates of are: .