What is the answer to |3m+4|=8 ?

The answer to |3m+4|=8 is m=-4\lor m= 4/3

Solve for m: |3m+4|=8

The solution is m=-4\lor m= 4/3

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∣ 3 m + 4 ∣ = 8

m = - 4 or m = \frac{4}{3}

Decimal Notation

m = - 4, m = 1.33333 \dots

Solution steps

∣ 3 m + 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 m + 4 = - 8 or 3 m + 4 = 8

3 m + 4 = - 8 or 3 m + 4 = 8

m = - 4 or m = \frac{4}{3}

y, x = - ∣ y ∣

∣ x - 3 ∣ - 1 = 5

∣ 4 + 8 x ∣ = 28

∣ 5 x + 2 ∣ = 16

∣ 4 x + 2 ∣ = - 46