Solve for x: 2/5 + 3/5x = x+5/10

the answers are:

x=-3

x=2

x=-3 and x=2

no solution

2 / 5 + 3 / (5 x) = (x + 5) / 10

(2 x + 3) / (5 x) = (x + 5) / 10

20 x + 30 = 5 x² + 25 x

5 x² + 25 x - 20 x - 30 = 0

5 x² + 5 x - 30 = 0 / : 5

x² + x - 6 = 0

x² + 3 x - 2 x - 6 = 0

x (x + 3) - 2 (x + 3) = 0

(x + 3) (x - 2) = 0

x 1 = - 3, x 2 = 2

Answer:

C) x = - 3 and x = 2