Question

Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over 10

Answer 1

Answer:

$x=-3\ and\ x=2$

Step-by-step explanation:

we have

$\frac{2}{5}+\frac{3}{5x}=\frac{x+5}{10}$

Simplify-----> Multiply by $10x$ both sides

$10x*\frac{2}{5}+10x*\frac{3}{5x}=10x*\frac{x+5}{10}$

$4x+6=x^{2}+5x$

$x^{2}+5x-4x-6=0$

$x^{2}+x-6=0$

Using a graphing tool-----> to resolve the quadratic equation

see the attached figure

The solutions are

$x=-3\ and\ x=2$

Answer 2

Answer is going to be x=-3, and x=2