Question 166393
{{{ graph( 300, 300, -5, 5, -10, 10, 2x-6, x^4-3x^3) }}}
.
.
.
A closer look
.
.
.
{{{ graph( 300, 300, -1, 5, -5, 5, 2x-6, x^4-3x^3) }}}
Looks like (3,0) may be an intersection point.
Try it.
y=2x-6
0=2(3)-6
0=0
True.
y=x^4-3x^3
0=3^4-3(3^3)
0=0
True
(3,0) is a solution.
{{{ graph( 300, 300, -1, 3, -5, 1, 2x-6, x^4-3x^3) }}}
Can't find the second solution exactly by graphing. 
Iteration is required. 
x=1.25 is a good start point.
Iteration leads to x=1.259922 with corresponding y=-3.48016.
{{{drawing( 300, 300, -1, 3, -5, 1,grid( 1 ),circle( 1.259922, -3.48016, .1 ),graph( 300, 300, -1, 3, -5, 1, 2x-6, x^4-3x^3)) }}}