What is the answer to -8|5p+10|-6=-86 ?

The answer to -8|5p+10|-6=-86 is p=-4\lor p=0

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-8|5p+10|-6=-86

- 8 ∣ 5 p + 10 ∣ - 6 = - 86

p = - 4 or p = 0

Solution steps

- 8 ∣ 5 p + 10 ∣ - 6 = - 86

Move

6

to the right side

- 8 ∣ 5 p + 10 ∣ = - 80

Divide both sides by

- 8

∣ 5 p + 10 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 p + 10 = - 10 or 5 p + 10 = 10

5 p + 10 = - 10 or 5 p + 10 = 10

p = - 4 or p = 0

x^{2} - 3 x = ∣ x ∣

∣ x + 3 ∣ = 71

21 = ∣ x ∣

∣ x ∣ - 3 = - 1

- 2 ∣ 7 - 6 x ∣ + 8 = 6

What is the answer to -8|5p+10|-6=-86 ?
The answer to -8|5p+10|-6=-86 is p=-4\lor p=0
Solve for p: -8|5p+10|-6=-86
The solution is p=-4\lor p=0