What is the answer to -15=-5|b+8| ?

The answer to -15=-5|b+8| is b=-11\lor b=-5

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-15=-5|b+8|

- 15 = - 5 ∣ b + 8 ∣

b = - 11 or b = - 5

Solution steps

- 15 = - 5 ∣ b + 8 ∣

Switch sides

- 5 ∣ b + 8 ∣ = - 15

Divide both sides by

- 5

∣ b + 8 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

b + 8 = - 3 or b + 8 = 3

b + 8 = - 3 or b + 8 = 3

b = - 11 or b = - 5

x^{2} - 6 ∣ x ∣ + 8 = 0

∣ 9 n - 4 ∣ + 13 = 7

5 ∣ u - 2 ∣ + 15 = 90

∣ 2 x + 2 ∣ + x - 1 = - 7

- 9 = - 9 ∣ u ∣ - 2