What is the answer to -4| x/6 |=-6 ?

The answer to -4| x/6 |=-6 is x=-9\lor x=9

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-4| x/6 |=-6

- 4 \frac{x}{6} = - 6

x = - 9 or x = 9

Solution steps

- 4 \frac{x}{6} = - 6

Divide both sides by

- 4

\frac{x}{6} = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 9 or x = 9

∣ 2 y ∣ - 4 = 16

∣ x - 1 ∣ = x^{2} + 1

∣ a + 3 ∣ = 0

∣ 2 x + 6 ∣ + 5 = 7

∣ 9 y + 9 ∣ - 6 = 0