What is the answer to 5|2p-4(p+5)|=25 ?

The answer to 5|2p-4(p+5)|=25 is p=-25/2 \lor p=-15/2

Solve for p: 5|2p-4(p+5)|=25

The solution is p=-25/2 \lor p=-15/2

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5 ∣ 2 p - 4 (p + 5) ∣ = 25

p = - \frac{25}{2} or p = - \frac{15}{2}

Decimal

p = - 12.5, p = - 7.5

Solution steps

5 ∣ 2 p - 4 (p + 5) ∣ = 25

Divide both sides by

5

∣ 2 p - 4 (p + 5) ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 p - 4 (p + 5) = - 5 or 2 p - 4 (p + 5) = 5

2 p - 4 (p + 5) = - 5 or 2 p - 4 (p + 5) = 5

p = - \frac{25}{2} or p = - \frac{15}{2}

7 - ∣ x - 4 ∣ = - 1

∣ 1 + 2 x ∣ = 9

3 ∣ x - 2 ∣ + 1 = 7

∣ 8 u ∣ - 18 = - 74

∣ 2 x - 3 ∣ = 29

What is the answer to 5|2p-4(p+5)|=25 ?
The answer to 5|2p-4(p+5)|=25 is p=-25/2 \lor p=-15/2
Solve for p: 5|2p-4(p+5)|=25
The solution is p=-25/2 \lor p=-15/2