What is the answer to |4p+2|=5 ?

The answer to |4p+2|=5 is p=-7/4 \lor p= 3/4

Solve for p: |4p+2|=5

The solution is p=-7/4 \lor p= 3/4

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∣ 4 p + 2 ∣ = 5

p = - \frac{7}{4} or p = \frac{3}{4}

Solution steps

∣ 4 p + 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

p = - \frac{7}{4} or p = \frac{3}{4}

∣ - x + 2 ∣ = x + 1

6 - 6 ∣ 5 x - 5 ∣ = - 18

- 5 ∣ y ∣ = 0

4 ∣ 2 x + 7 ∣ + 12 = 5

- 12 ∣ 4 x - 2 ∣ + 7 = 15