Question

Mulțimea soluțiilor ecuației 4(3x - 2) + 6|2x- 3| + 5 = 5 (2x - 3) + 2x +30 este S= {.....}

Answer 1

4(3×-2)+6l2x-3l+5=5(2x-3)+30

2x-3>0

l2x-3l=2x-3

4(3x-2)+6(2x-3)+5=5(2x-3)+2x+30

12x-2+12x-18+5=10x-15+2x+30

24x-15=12x+15

12x=30

X=30/12=5/2


2x-3<0

l2x-3l=(2x-3)=3-2x

4(3x-2)+6(3-2x)+5=5(2x-3)+2x+30

12x-2-12x+18+5=10x-15+2x+30

21=12x+15

12x=6

X=6/12

X=1/3