What is the answer to -3|x+1|+4=1 ?

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

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-3|x+1|+4=1

- 3 ∣ x + 1 ∣ + 4 = 1

x = - 2 or x = 0

Solution steps

- 3 ∣ x + 1 ∣ + 4 = 1

Move

4

to the right side

- 3 ∣ x + 1 ∣ = - 3

Divide both sides by

- 3

∣ x + 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 1 or x + 1 = 1

x + 1 = - 1 or x + 1 = 1

x = - 2 or x = 0

- (\frac{1}{8})^{- 2}

6 (3 x + 1)^{2} - 8 = 10

5 (x - 9)^{2} = 15

37 = 2 x^{2} - 40

- 2 (b + 5) = 4