Answer:
[tex]x = 0[/tex] and [tex]x = -2[/tex]
Step-by-step explanation:
[tex]\frac{x}{2} = \frac{{x}^2}{x-2}[/tex]
Use cross multiplying to solve the equation.
[tex]x(x-2) = 2({x}^2)[/tex]
[tex]{x}^2 - 2x = 2{x}^2[/tex]
[tex]2{x}^2-{x}^2+2x = 0[/tex]
[tex]{x}^2 + 2x = 0[/tex]
Now factor it.
[tex]x(x+2) = 0[/tex]
Now split into two equations:
Equation A:
[tex]x = 0[/tex]
Equation B:
[tex]x + 2 = 0[/tex]
[tex]x = 0 -2[/tex]
[tex]x = -2[/tex]
Therefore, the solutions are x = 0 and x = -2.
Hope this helped! If not, please let me know! <3
