What is the answer to 9-|p+6|=4 ?

The answer to 9-|p+6|=4 is p=-11\lor p=-1

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9-|p+6|=4

9 - ∣ p + 6 ∣ = 4

p = - 11 or p = - 1

Solution steps

9 - ∣ p + 6 ∣ = 4

Move

9

to the right side

- ∣ p + 6 ∣ = - 5

Divide both sides by

- 1

∣ p + 6 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

p + 6 = - 5 or p + 6 = 5

p + 6 = - 5 or p + 6 = 5

p = - 11 or p = - 1

2 x^{2} + 14 x = 5

\frac{4 - 5 i}{i}

(x + 3)^{2} - 8 x - 9 = 0

7 m - 8 > 6

\frac{x + 2}{3} - \frac{2 x - 1}{2} = 4