Question

Solve the following problem when -2 is outside an absolute value equation: -2|-2r-4|=-12

Answer 1

r = 1 and r = -5

Explanation:

We are given the following problem with an absolute value equation:

`-2|-2r-4|=-12`

The only variable here is
`r` so we will make it the subject and solve for it.

`-2|-2r-4|=-12`

Isolating the absolute value by dividing the constant -12 by -2 to get:

`|-2r-4|=(-12)/(-2)`

Setting the quantity inside the absolute value notation equal to a positive and a negative value on the other side of the equation:

`-2r-4 = -6` and
`-2r-4 = 6`

`-2r= -6+4` and
`-2r= 6+4`

`-2r = -2` and
`-2r = 10`

`r = (-2)/(-2)` and
`-2r = (10)/(-2)`

`r=1` and
`r=-5`

Answer 2

-2|-2r-4|=-12

divide by -2

|-2r-4| = 6

we get a positive and negative solution

-2r-4 = 6 and -2r - 4 = -6

-add 4 to each side

-2r = 10 -2r = -2

divide by -2

r = -5 and r = 1

Answer r = -5 ,1