What is the answer to |4x-1|=6 ?

The answer to |4x-1|=6 is x=-5/4 \lor x= 7/4

Solve for x: |4x-1|=6

The solution is x=-5/4 \lor x= 7/4

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∣ 4 x - 1 ∣ = 6

x = - \frac{5}{4} or x = \frac{7}{4}

Decimal Notation

x = - 1.25, x = 1.75

Solution steps

∣ 4 x - 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 6 or 4 x - 1 = 6

4 x - 1 = - 6 or 4 x - 1 = 6

x = - \frac{5}{4} or x = \frac{7}{4}

4 (n + 6) = 4 n + 8 (n + 13)

\frac{4 ^{5}}{20}

- 6 x + 15 = 33

2 (\frac{π}{2})

2 m^{2} - 7 m - 13 = 0