The answers are:
[tex]1) 24x-6 x^{2} =0 \\ 6x(4-x)=0 \\ Solution:x=0,x=4[/tex]
Because the greatest common factor of the expression is [tex] 6x [/tex]
[tex]2) 14x-7 x^{2} =0 \\ 7x(2-x)=0 \\ Solution: x=0, x=2[/tex]
Because the greatest common factor is [tex] 7x [/tex]
[tex]3) 2 x^{2} +6x=0 \\ 2x(x+3)=0 \\ Solution:x=0,x=-3[/tex]
Because the greatest common factor is [tex] 2x [/tex]
4) [tex] 4x-x^{2} =0\\ x(4-x)=0\\Solution: x=0, x=-4 [/tex]
Because the greatest common factor is [tex] x [/tex]
