What is the answer to 4|-9u+6|+2=2 ?

The answer to 4|-9u+6|+2=2 is u= 2/3

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4|-9u+6|+2=2

4 ∣ - 9 u + 6 ∣ + 2 = 2

u = \frac{2}{3}

Decimal Notation

u = 0.66666 \dots

Solution steps

4 ∣ - 9 u + 6 ∣ + 2 = 2

Subtract

2

from both sides

4 ∣ - 9 u + 6 ∣ + 2 - 2 = 2 - 2

Simplify

4 ∣ - 9 u + 6 ∣ = 0

Divide both sides by

4

∣ - 9 u + 6 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

- 9 u + 6 = 0

- 9 u + 6 = 0 : u = \frac{2}{3}

u = \frac{2}{3}

∣ 3 w ∣ = 0

2 ∣ x + 7 ∣ = - 3

∣ 2 x - 8 ∣ - 6 = - 4

∣ 3 x - 2 ∣ = 8 + 2 x

75 = ∣ 5 b - 25 ∣