Решить уравнение с параметром.

|2x+1| - |x| = 5a

x=0

x=-1/2

x>=0

2x+1-x=5a

x=5a-1 5a-1>0 a>1/5

x<=-1/2

-2x-1+x=5a

-x-1=5a

x=-1-5a

- (5a+1) 1/2 5a>-1/2 a>-1/10

(-1/2; 0)

2x+1+x=5a

3x=5a-1

x = (5a-1) / 3

5a-1<0 a-3/2 5a>-1/2 a>-1/10

(-1/10; 1/5)

a (-1/10; 1/5) x = (5a-1) / 3 x=-1-5a

a>1/5

x=5a-1

x = (5a-1) / 3

x=-1-5a