What is the answer to 16=3|-4h| ?

The answer to 16=3|-4h| is h=-4/3 \lor h= 4/3

Solve for h: 16=3|-4h|

The solution is h=-4/3 \lor h= 4/3

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16 = 3 ∣ - 4 h ∣

h = - \frac{4}{3} or h = \frac{4}{3}

Decimal Notation

h = - 1.33333 \dots, h = 1.33333 \dots

Solution steps

16 = 3 ∣ - 4 h ∣

Switch sides

3 ∣ - 4 h ∣ = 16

Divide both sides by

3

∣ - 4 h ∣ = \frac{16}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 h = - \frac{16}{3} or - 4 h = \frac{16}{3}

- 4 h = - \frac{16}{3} or - 4 h = \frac{16}{3}

h = - \frac{4}{3} or h = \frac{4}{3}

8 = ∣ - 4 u ∣

∣ a + 5 ∣ = 0

2 ∣ x - 6 ∣ + 4 = 8

∣ 8 x + 5 ∣ = 21

- 3 ∣ x - 9 ∣ = - 27