I need help!
x^2 – 9x + 12 = –6

x=3 or x=6

Step-by-step explanation:

x2−9x+12=−6

Step 1: Subtract -6 from both sides.

x2−9x+12−(−6)=−6−(−6)

x2−9x+18=0

Step 2: Factor left side of equation.

(x−3)(x−6)=0

Step 3: Set factors equal to 0.

x−3=0 or x−6=0

x=3 or x=6  

Not sure if this is totally correct tho

1. there were 24 chocolates in the box at first.

2. the boy with the smallest share received 6 chocolates.

Explanation:

let's represent the number of chocolates in the box with 8x.

the first boy got ⅜ × 8x  = 3x chocolates. now, there are 8x - 3x = 5x chocolates remaining.

the second boy got ⅖ × 5x = 2x chocolates. now, there are 5x - 2x = 3x chocolates remaining.

3x = 9 chocolates

x = 3 chocolates

since the original number of chocolates was represented by 8x, we now know that there were 8 × 3 = 24 chocolates in the box at first.

the first boy got 9 chocolates, the second boy got 6 chocolates and the last boy got 9 chocolates. thus, the boy with the smallest share got 6 chocolates.

i hope this helps! :D