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

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

Solve for m: |1-4m|=7

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

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∣ 1 - 4 m ∣ = 7

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

Decimal Notation

m = - 1.5, m = 2

Solution steps

∣ 1 - 4 m ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 4 m = - 7 or 1 - 4 m = 7

1 - 4 m = - 7 or 1 - 4 m = 7

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

∣ x + 1 ∣ - 5 = 5

5 ∣ 2 x - 6 ∣ = 9

- 6 = - 7 ∣ m ∣

∣ 2 x - 1 ∣ = 4 + x

x^{2} + 6 x - 1 = - 6