What is the answer to 8|-9x-4|-2=9 ?

The answer to 8|-9x-4|-2=9 is x=-43/72 \lor x=-7/24

Solve for x: 8|-9x-4|-2=9

The solution is x=-43/72 \lor x=-7/24

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8 ∣ - 9 x - 4 ∣ - 2 = 9

x = - \frac{43}{72} or x = - \frac{7}{24}

Decimal Notation

x = - 0.59722 \dots, x = - 0.29166 \dots

Solution steps

8 ∣ - 9 x - 4 ∣ - 2 = 9

Move

2

to the right side

8 ∣ - 9 x - 4 ∣ = 11

Divide both sides by

8

∣ - 9 x - 4 ∣ = \frac{11}{8}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 9 x - 4 = - \frac{11}{8} or - 9 x - 4 = \frac{11}{8}

- 9 x - 4 = - \frac{11}{8} or - 9 x - 4 = \frac{11}{8}

x = - \frac{43}{72} or x = - \frac{7}{24}

2 ∣ x + 3 ∣ - 4 = 0

∣ 5 x + 1 ∣ = 3

∣ 5 x + 1 ∣ = 9

∣ a - 5 ∣ = a + 4

∣ 6 x + 9 ∣ = 3

What is the answer to 8|-9x-4|-2=9 ?
The answer to 8|-9x-4|-2=9 is x=-43/72 \lor x=-7/24
Solve for x: 8|-9x-4|-2=9
The solution is x=-43/72 \lor x=-7/24