What is the answer to |4x-1|-7=0 ?

The answer to |4x-1|-7=0 is x=-3/2 \lor x=2

Solve for x: |4x-1|-7=0

The solution is x=-3/2 \lor x=2

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∣ 4 x - 1 ∣ - 7 = 0

x = - \frac{3}{2} or x = 2

Solution steps

∣ 4 x - 1 ∣ - 7 = 0

Move

7

to the right side

∣ 4 x - 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 7 or 4 x - 1 = 7

4 x - 1 = - 7 or 4 x - 1 = 7

x = - \frac{3}{2} or x = 2

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

∣ 3 x - 9 ∣ = 12

b (x) = ∣ x - 2 ∣ + 3

∣ z - 1 ∣ = 7 z - 13

x^{2} + 4 x - 1 = 7