What is the answer to |5x-4|=4 ?

The answer to |5x-4|=4 is x=0\lor x= 8/5

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|5x-4|=4

∣ 5 x - 4 ∣ = 4

x = 0 or x = \frac{8}{5}

Decimal Notation

x = 0, x = 1.6

Solution steps

∣ 5 x - 4 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 4 = - 4 or 5 x - 4 = 4

5 x - 4 = - 4 or 5 x - 4 = 4

x = 0 or x = \frac{8}{5}

\frac{2}{3} x^{2} - 4 = 12

6 x^{2} - 2.4 x = 0

m^{2} - 6 mn + 9 n^{2}

x^{2} + \frac{4}{3} x - \frac{7}{3}

- 2 > \frac{- 3 a - 5}{3} > - 4