Giải phương trình khi $m =  - 2$.

$m <  - 1$

$- 2 \ne m <  - 1$

$m >  - 1$

$m \ne  - 1;m \ne  - 2$

$x = \dfrac{{ - 1 \pm \sqrt 5 }}{2}$  

$x = \dfrac{{ - 1 \pm \sqrt 3 }}{2}$

$x = \dfrac{{ - 1 + \sqrt 5 }}{2}$

$x = 1 - \dfrac{{\sqrt 5 }}{2}$

$x = \dfrac{{ - 1 \pm \sqrt 5 }}{2}$  

$x = \dfrac{{ - 1 \pm \sqrt 3 }}{2}$

$x = \dfrac{{ - 1 + \sqrt 5 }}{2}$

$x = 1 - \dfrac{{\sqrt 5 }}{2}$

$- \dfrac{1}{2};1$

$1; - \dfrac{1}{2}$

$- 1;1$

$- 1;2$

${x_1}{x_2} = {x_2} - {x_1} + 1$

${x_1} - {x_2} = {x_2} + {x_1} - 1$

${x_1}{x_2} = {x_2} - {x_1} + 1$

${x_1}{x_2} = {x_1} + {x_2} - 1$

${x_1}{x_2} = {x_2} - {x_1} + 1$

${x_1} - {x_2} = {x_2} + {x_1} - 1$

${x_1}{x_2} = {x_2} - {x_1} + 1$

${x_1}{x_2} = {x_1} + {x_2} - 1$