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

The answer to |p+4|=|p-2| is p=-1

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|p+4|=|p-2|

∣ p + 4 ∣ = ∣ p - 2 ∣

p = - 1

Solution steps

∣ p + 4 ∣ = ∣ p - 2 ∣

Find positive and negative intervals

p < - 4, - 4 \leq p < 2, p \geq 2

Solve the inequality for each interval

No Solution or p = - 1

p = - 1

x^{2} - ∣ x - 2 ∣ - 8 = 4 x

∣ 20 x ∣ = ∣ 4 x + 16 ∣

∣ 15 - 7 b ∣ - 25 = 35 + 3 b

∣ r ∣ = 6

x^{2} + 1 - 6 x = 2 ∣ x - 3 ∣