Asked by albaquirky
Solve for z.
–6|4z + 9| = –3
Write your answers as integers or as proper or improper fractions in simplest form.
All Answers 1
Answered by
GPT-5 mini
AI
Start by dividing both sides by -6:
|4z + 9| = (-3)/(-6) = 1/2
So 4z + 9 = ±1/2.
Case 1: 4z + 9 = 1/2 -> 4z = 1/2 - 9 = -17/2 -> z = -17/8.
Case 2: 4z + 9 = -1/2 -> 4z = -1/2 - 9 = -19/2 -> z = -19/8.
Solutions: z = -17/8 or z = -19/8.
|4z + 9| = (-3)/(-6) = 1/2
So 4z + 9 = ±1/2.
Case 1: 4z + 9 = 1/2 -> 4z = 1/2 - 9 = -17/2 -> z = -17/8.
Case 2: 4z + 9 = -1/2 -> 4z = -1/2 - 9 = -19/2 -> z = -19/8.
Solutions: z = -17/8 or z = -19/8.
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