What is the answer to -3|x-4|+4=-5 ?

The answer to -3|x-4|+4=-5 is x=1\lor x=7

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-3|x-4|+4=-5

- 3 ∣ x - 4 ∣ + 4 = - 5

x = 1 or x = 7

Solution steps

- 3 ∣ x - 4 ∣ + 4 = - 5

Move

4

to the right side

- 3 ∣ x - 4 ∣ = - 9

Divide both sides by

- 3

∣ x - 4 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 3 or x - 4 = 3

x - 4 = - 3 or x - 4 = 3

x = 1 or x = 7

2 = - \frac{1}{2} (- 5) + b

12 x^{2} - 12 x - 24 = 0

x^{3} x^{9}

(- 2 i) (5 i) (- i)

2 x^{2} - 5 x y - 12 y^{2}