Question

2/5x-5/2x=1/10
pls answer this by steps​

Answer 1

Step-by-step explanation:

$\bold{\blue{\frac{2}{5x} - \frac{5}{2x} = \frac{1}{10}}} \\ \\ \bold{\blue{\frac{4x - 25x}{10 {x}^{2} }= \frac{1}{10}}} \\ \\ \bold{\blue{4x- 25x = \frac{10 {x}^{2} }{10}}} \\ \bold{\blue{- 21x = {x}^{2}}} \\ \bold{\blue{ {x}^{2} + 21x = 0}} \\ \bold{\blue{x(x + 21) = 0}} \\ \bold{\blue{So, }} \\ \boxed{\bold{\blue{x = 0 \: and \: x + 21 = 0 \implies x = - 21}}}$