What is the answer to |3x+4|=6 ?

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

Solve for x: |3x+4|=6

The solution is x=-10/3 \lor x= 2/3

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∣ 3 x + 4 ∣ = 6

x = - \frac{10}{3} or x = \frac{2}{3}

Solution steps

∣ 3 x + 4 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 4 = - 6 or 3 x + 4 = 6

3 x + 4 = - 6 or 3 x + 4 = 6

x = - \frac{10}{3} or x = \frac{2}{3}

27 + 75

x^{2} + 6 x - 160 = 0

x^{2} = 2

1010

∣ 2 x - 4 ∣ > 10