What is the answer to 11=|m+6| ?

The answer to 11=|m+6| is m=-17\lor m=5

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11=|m+6|

11 = ∣ m + 6 ∣

m = - 17 or m = 5

Solution steps

11 = ∣ m + 6 ∣

Switch sides

∣ m + 6 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

m + 6 = - 11 or m + 6 = 11

m + 6 = - 11 or m + 6 = 11

m = - 17 or m = 5

- \frac{3}{4} (- 4)

4 x^{3} - 12 x^{2} + 8 x

- 6 + (- 3)

1012

16 x - 32 = 0