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

The answer to (x-1)(|x|-1)=(-1)/2 is x=-sqrt(3/2)

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(x-1)(|x|-1)=(-1)/2

(x - 1) (∣ x ∣ - 1) = \frac{- 1}{2}

x = - \frac{3}{2}

Solution steps

(x - 1) (∣ x ∣ - 1) = \frac{- 1}{2}

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{3}{2} or No Solution

x = - \frac{3}{2}

\frac{x + 1}{2} - 6 = - 2

x^{2} - 2 x + ∣ 3 x - 6 ∣ = 5 x - 6 - x^{2}

x^{2} + 12 x - 28 = 9 x

∣ a + 15 ∣ = 2, a ∣ b - a ∣ = 2 b

11 ∣ 2 x + 3 ∣ - ∣ 2 x - 5 ∣ = 6

What is the answer to (x-1)(|x|-1)=(-1)/2 ?
The answer to (x-1)(|x|-1)=(-1)/2 is x=-sqrt(3/2)
Solve for x: (x-1)(|x|-1)=(-1)/2
The solution is x=-sqrt(3/2)