What is the answer to -1/2 |x-1|=0 ?

The answer to -1/2 |x-1|=0 is x=1

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-1/2 |x-1|=0

- \frac{1}{2} ∣ x - 1 ∣ = 0

x = 1

Solution steps

- \frac{1}{2} ∣ x - 1 ∣ = 0

Multiply both sides by

- 2

∣ x - 1 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x - 1 = 0

x - 1 = 0 : x = 1

x = 1

x^{2} + 3 x - 10 = ∣ x + 2 ∣ + 6

9 ∣ t + 8 ∣ = 9

- 2 ∣ x + 3 ∣ = 10

∣ 2 x ∣ = 3 x + 1

∣ x - 10 ∣ = 4