Question

|3w+6|=9
Solve for w

Answer 1

Remove the absolute value term. This creates a ± on the right-hand side of the equation because |x|=±x.
3w+6=±(9)

Set up the
3w+6=9

Move all terms not containing w to the right-hand side of the equation.
3w=3

Divide each term in the equation by 3.
w=1

Set up the − portion of the ± solution.
3w+6=−(9)

Simplify.
3w+6=−9

Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides.
3w=−6−9

Subtract 9 from −6 to get −15.
3w=−15

Divide each term in the equation by 3.
w=−5


w=1,−5

Answer 2

so absolute value || means that the result of whatever was in the absolute value signs is now positive so therfor
3w+6=9 or -9 so consider both

3w+6=9
3w+6=-9

3w+6=9
subtract 6 form both sdies
3w=3
divide by 3
w=1

3w+6=-9
subtract 6
3w=-15
divide by 3
w=-5

so w could be 1 or -5