(x+2)(x-3) - (2x-5)(x+3)= x(x-5)

[latex](x+2)(x-3)-(2x-5)(x+3)=x(x-5)[/latex] [latex]x^2-3x+2x-6-(2x^2+6x-5x-15)=x^2-5x[/latex] [latex]-2x^2+3x+9=0[/latex] [latex]2x^2-3x-9=0[/latex] [latex]D=b^2-4ac[/latex] [latex]D=(-3)^2-4*2*(-9)=9+72=81[/latex], [latex]D\ \textgreater \ 0[/latex]⇒2 р.д.к. [latex]x_1= \frac{-b+ \sqrt{D} }{2a} [/latex] [latex]x_2= \frac{-b- \sqrt{D} }{2a} [/latex] [latex]x_1= \frac{3+ \sqrt{81} }{2*2} = \frac{12}{4} =3[/latex] [latex]x_2= \frac{3- \sqrt{81} }{4} = \frac{3-9}{4} = -\frac{6}{4} =-1.5[/latex] Ответ: [latex]-1.5;3[/latex]