Answer:
[tex]x=-3\ and\ x=2[/tex]
Step-by-step explanation:
we have
[tex]\frac{2}{5}+\frac{3}{5x}=\frac{x+5}{10}[/tex]
Simplify-----> Multiply by [tex]10x[/tex] both sides
[tex]10x*\frac{2}{5}+10x*\frac{3}{5x}=10x*\frac{x+5}{10}[/tex]
[tex]4x+6=x^{2}+5x[/tex]
[tex]x^{2}+5x-4x-6=0[/tex]
[tex]x^{2}+x-6=0[/tex]
Using a graphing tool-----> to resolve the quadratic equation
see the attached figure
The solutions are
[tex]x=-3\ and\ x=2[/tex]
