What is the answer to -6=-7|m| ?

The answer to -6=-7|m| is m=-6/7 \lor m= 6/7

Solve for m: -6=-7|m|

The solution is m=-6/7 \lor m= 6/7

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- 6 = - 7 ∣ m ∣

m = - \frac{6}{7} or m = \frac{6}{7}

Decimal Notation

m = - 0.85714 \dots, m = 0.85714 \dots

Solution steps

- 6 = - 7 ∣ m ∣

Switch sides

- 7 ∣ m ∣ = - 6

Divide both sides by

- 7

∣ m ∣ = \frac{6}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

m = - \frac{6}{7} or m = \frac{6}{7}

∣ 2 x - 1 ∣ = 4 + x

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

∣ 6 x + 7 ∣ + 2 = 3

∣ 3 x + 3 ∣ = 2

- ∣ x ∣ + 1 = 0