What is the answer to |2x-1|=8x ?

The answer to |2x-1|=8x is x= 1/10

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|2x-1|=8x

∣ 2 x - 1 ∣ = 8 x

x = \frac{1}{10}

Solution steps

∣ 2 x - 1 ∣ = 8 x

Find positive and negative intervals

x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x = \frac{1}{10} or No Solution

x = \frac{1}{10}

x^{2} - 20 x - 18 = 7

\frac{∣ 2 x - 1 ∣}{x + 1} \leq 2

10 = - 5 (x - 4)

20 \cdot \frac{1}{1000} \cdot 11 \cdot 0.12 \cdot \frac{365}{1}

3 x^{4} - 27 x^{3} + 60 x^{2}