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3 votes
-4|2w+6|= -32 how do you solve it

User Stepcut
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1 Answer

6 votes

Isolate the absolute value, confirm the absolute value is not equal to a negative number, split the absolute value into 2 equations (one positive and one negative), then solve both equations.

-4|2w + 6| = -32

|2w + 6| = 8 divided both sides by -4 (confirmed that 8 is positive)

positive: negative:

2w + 6 = 8 -(2w + 6) = 8

2w = 2 (subtracted 6 from both sides) 2w + 6 = -8 (divided both sides by -1)

w = 1 (divided both sides by 2) 2w = -14 (subtracted 6 from both sides)

w = -7 (divided both sides by 2)

Answer: 1, -7

User Rafff
by
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