What is the answer to 3|4w-1|=15 ?

The answer to 3|4w-1|=15 is w=-1\lor w= 3/2

Solve for w: 3|4w-1|=15

The solution is w=-1\lor w= 3/2

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3 ∣ 4 w - 1 ∣ = 15

w = - 1 or w = \frac{3}{2}

Decimal Notation

w = - 1, w = 1.5

Solution steps

3 ∣ 4 w - 1 ∣ = 15

Divide both sides by

3

∣ 4 w - 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 w - 1 = - 5 or 4 w - 1 = 5

4 w - 1 = - 5 or 4 w - 1 = 5

w = - 1 or w = \frac{3}{2}

∣ q + 2 ∣ = 74

3 ∣ x - 2 ∣ - 7 = - 1

- 2 = - 2 ∣ b ∣

- 6 ∣ 4 b - 5 ∣ + 2 = 32

6 - 8 ∣ 7 m - 2 ∣ = - 34