What is the answer to |4x+3|-3=0 ?

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

Solve for x: |4x+3|-3=0

The solution is x=-3/2 \lor x=0

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∣ 4 x + 3 ∣ - 3 = 0

x = - \frac{3}{2} or x = 0

Decimal Notation

x = - 1.5, x = 0

Solution steps

∣ 4 x + 3 ∣ - 3 = 0

Move

3

to the right side

∣ 4 x + 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 3 = - 3 or 4 x + 3 = 3

4 x + 3 = - 3 or 4 x + 3 = 3

x = - \frac{3}{2} or x = 0

∣ x + 12 ∣ = 9

∣ - 9 x + 4 ∣ = 86

- 5 ∣ x + 9 ∣ - 1 = 14

∣ 5 x - 4 ∣ - 3 = 8

∣ 3 - x ∣ = 12