What is the answer to |4n+3|=15 ?

The answer to |4n+3|=15 is n=-9/2 \lor n=3

Solve for n: |4n+3|=15

The solution is n=-9/2 \lor n=3

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∣ 4 n + 3 ∣ = 15

n = - \frac{9}{2} or n = 3

Decimal Notation

n = - 4.5, n = 3

Solution steps

∣ 4 n + 3 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 n + 3 = - 15 or 4 n + 3 = 15

4 n + 3 = - 15 or 4 n + 3 = 15

n = - \frac{9}{2} or n = 3

∣ 3 x + 2 ∣ - 1 = 7

10 = 12 ∣ d ∣

∣ x - 1 ∣ = x + 2

∣ - 5 - n ∣ = 5

4 ∣ x - 10 ∣ = 48