What is the answer to x|5x-2|=8 ?

The answer to x|5x-2|=8 is x=(1+sqrt(41))/5

Solve for x: x|5x-2|=8

The solution is x=(1+sqrt(41))/5

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x ∣ 5 x - 2 ∣ = 8

x = \frac{1 + 41}{5}

Solution steps

x ∣ 5 x - 2 ∣ = 8

Find positive and negative intervals

x < \frac{2}{5}, x \geq \frac{2}{5}

Solve the inequality for each interval

No Solution or x = \frac{1 + 41}{5}

x = \frac{1 + 41}{5}

3 - ∣ - 5 - 3 r ∣ = - 7

- 5 ∣ 2 x - 1 ∣ + 3 = - 10

- 3 ∣ x - 8 ∣ = 6 x - 12

\frac{9 - 4 x}{2} = 3

5 ∣ x + 7 ∣ + 14 = 8