[latex]17 x^{2} -5 x=14 x^{2} +7 x[/latex]

[latex]17x^{2}-5x=14x^{2}+7x[/latex] [latex]17x^{2}-5x-14x^{2}-7x=0[/latex] [latex]x(17x-5-14x-7)=0[/latex] [latex]x(3x-12)=0[/latex] [latex]x*3(x-4)=0[/latex] [latex]x(x-4)=0[/latex] [latex] \left \{ {{x=0} \atop {x-4=0}} \right. [/latex] [latex] \left \{ {{x=0} \atop {x=4}} \right. [/latex]