What is the answer to 6-2|4k+1|=-56 ?

The answer to 6-2|4k+1|=-56 is k=-8\lor k= 15/2

Solve for k: 6-2|4k+1|=-56

The solution is k=-8\lor k= 15/2

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6 - 2 ∣ 4 k + 1 ∣ = - 56

k = - 8 or k = \frac{15}{2}

Decimal Notation

k = - 8, k = 7.5

Solution steps

6 - 2 ∣ 4 k + 1 ∣ = - 56

Move

6

to the right side

- 2 ∣ 4 k + 1 ∣ = - 62

Divide both sides by

- 2

∣ 4 k + 1 ∣ = 31

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 k + 1 = - 31 or 4 k + 1 = 31

4 k + 1 = - 31 or 4 k + 1 = 31

k = - 8 or k = \frac{15}{2}

∣ x ∣ + 14 = 24

7 ∣ 2 x - 5 ∣ = 21

∣ x ∣ + 5 = 1

∣ 4 x + 1 ∣ + 3 = - 7

x^{2} + 6 - 8 = ∣ x + 4 ∣ + 4

What is the answer to 6-2|4k+1|=-56 ?
The answer to 6-2|4k+1|=-56 is k=-8\lor k= 15/2
Solve for k: 6-2|4k+1|=-56
The solution is k=-8\lor k= 15/2