Question

Solve for x: −3|x − 3| = −6
x = 1, x = −1
x = 1, x = 5
x = 0, x = 5
No solutions

Answer 1

First, divide both sides by -3
what do you get ?

Answer 2

1

Answer 3

like this
\[ \frac{-3\ | x-3 |}{-3}= \frac{-6}{-3} \]

Answer 4

0 5

Answer 5

what is -6 / -3 ?

Answer 6

2

Answer 7

right

Answer 8

and what is -3 / -3 ? I assume you know that is 1

so the problem is
\[ \frac{-3\ | x-3 |}{-3}= \frac{-6}{-3} \\ \text{becomes }\\
| x-3| =2 \]

Answer 9

to solve this you assume either x-3 is positive
in which case you solve
x-3= 2

can you solve for x ? (I would add +3 to both sides)

Answer 10

Ix=1,x=5

Answer 11

then assume x-3 is negative , in which case we solve
-(x-3) = 2
-x +3 = 2
-x = -1
x=1

Answer 12

ok so b