What is the answer to 18=9|6-8m| ?

The answer to 18=9|6-8m| is m= 1/2 \lor m=1

Solve for m: 18=9|6-8m|

The solution is m= 1/2 \lor m=1

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18 = 9 ∣ 6 - 8 m ∣

m = \frac{1}{2} or m = 1

Decimal Notation

m = 0.5, m = 1

Solution steps

18 = 9 ∣ 6 - 8 m ∣

Switch sides

9 ∣ 6 - 8 m ∣ = 18

Divide both sides by

9

∣ 6 - 8 m ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 8 m = - 2 or 6 - 8 m = 2

6 - 8 m = - 2 or 6 - 8 m = 2

m = \frac{1}{2} or m = 1

x - 8 = 5

x^{2} - 2 x - 1 = 0

2 ∣ x - 2 ∣ = - 1

∣ 2 x ∣ - 3 = 20

∣ k + 5 ∣ = 12