What is the answer to -|2x+1|=-1 ?

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

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-|2x+1|=-1

- ∣ 2 x + 1 ∣ = - 1

x = - 1 or x = 0

Solution steps

- ∣ 2 x + 1 ∣ = - 1

Divide both sides by

- 1

∣ 2 x + 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 1 or 2 x + 1 = 1

2 x + 1 = - 1 or 2 x + 1 = 1

x = - 1 or x = 0

∣ m + 10 ∣ = 4

∣ a + 2 ∣ - 3 = 5

∣ 2 x + 2 ∣^{2} = 5

2 x^{2} - 3 - x = 3

∣ x - 8 ∣ = 16