What is the answer to 10-4|3x+2|=0 ?

The answer to 10-4|3x+2|=0 is x=-3/2 \lor x= 1/6

Solve for x: 10-4|3x+2|=0

The solution is x=-3/2 \lor x= 1/6

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10 - 4 ∣ 3 x + 2 ∣ = 0

x = - \frac{3}{2} or x = \frac{1}{6}

Decimal Notation

x = - 1.5, x = 0.16666 \dots

Solution steps

10 - 4 ∣ 3 x + 2 ∣ = 0

Move

10

to the right side

- 4 ∣ 3 x + 2 ∣ = - 10

Divide both sides by

- 4

∣ 3 x + 2 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - \frac{5}{2} or 3 x + 2 = \frac{5}{2}

3 x + 2 = - \frac{5}{2} or 3 x + 2 = \frac{5}{2}

x = - \frac{3}{2} or x = \frac{1}{6}

∣ 2 x - 3 ∣ = - 7

∣ 2 x - 3 ∣ = - 9

∣ - x + 1 ∣ = - 2

∣ 2 x - 3 ∣ = 13

- 3 ∣ v + 1 ∣ = 6

What is the answer to 10-4|3x+2|=0 ?
The answer to 10-4|3x+2|=0 is x=-3/2 \lor x= 1/6
Solve for x: 10-4|3x+2|=0
The solution is x=-3/2 \lor x= 1/6