What is the answer to -2|1-4k|-5=-31 ?

The answer to -2|1-4k|-5=-31 is k=-3\lor k= 7/2

Solve for k: -2|1-4k|-5=-31

The solution is k=-3\lor k= 7/2

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- 2 ∣ 1 - 4 k ∣ - 5 = - 31

k = - 3 or k = \frac{7}{2}

Decimal

k = - 3, k = 3.5

Solution steps

- 2 ∣ 1 - 4 k ∣ - 5 = - 31

Move

5

to the right side

- 2 ∣ 1 - 4 k ∣ = - 26

Divide both sides by

- 2

∣ 1 - 4 k ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 - 4 k = - 13 or 1 - 4 k = 13

1 - 4 k = - 13 or 1 - 4 k = 13

k = - 3 or k = \frac{7}{2}

∣ 2 x - 1 ∣ = ∣ x ∣

x^{2} - 4 x + 4 = 8 - ∣ 2 - x ∣

x^{3} - x ∣ x ∣ - 15 = 0

f, x = f - 7^{2}

∣ 3 x + 2 ∣ - ∣ x - 1 ∣ = 2 x + 3

What is the answer to -2|1-4k|-5=-31 ?
The answer to -2|1-4k|-5=-31 is k=-3\lor k= 7/2
Solve for k: -2|1-4k|-5=-31
The solution is k=-3\lor k= 7/2