What is the answer to -3|4+9x|-6=-75 ?

The answer to -3|4+9x|-6=-75 is x=-3\lor x= 19/9

Solve for x: -3|4+9x|-6=-75

The solution is x=-3\lor x= 19/9

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- 3 ∣ 4 + 9 x ∣ - 6 = - 75

x = - 3 or x = \frac{19}{9}

Solution steps

- 3 ∣ 4 + 9 x ∣ - 6 = - 75

Move

6

to the right side

- 3 ∣ 4 + 9 x ∣ = - 69

Divide both sides by

- 3

∣ 4 + 9 x ∣ = 23

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 + 9 x = - 23 or 4 + 9 x = 23

4 + 9 x = - 23 or 4 + 9 x = 23

x = - 3 or x = \frac{19}{9}

8 ∣ x - 9 ∣ = - 64

∣ 8 v - 12 ∣ = 68

∣ 6 x - 1 ∣ + 7 = 7

∣ 3 x ∣ + 8 = 17

x^{2} + 6 x - 8 = 8

What is the answer to -3|4+9x|-6=-75 ?
The answer to -3|4+9x|-6=-75 is x=-3\lor x= 19/9
Solve for x: -3|4+9x|-6=-75
The solution is x=-3\lor x= 19/9