What is the answer to 12=3|-j-5|+9 ?

The answer to 12=3|-j-5|+9 is j=-6\lor j=-4

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12=3|-j-5|+9

12 = 3 ∣ - j - 5 ∣ + 9

j = - 6 or j = - 4

Solution steps

12 = 3 ∣ - j - 5 ∣ + 9

Switch sides

3 ∣ - j - 5 ∣ + 9 = 12

Move

9

to the right side

3 ∣ - j - 5 ∣ = 3

Divide both sides by

3

∣ - j - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- j - 5 = - 1 or - j - 5 = 1

- j - 5 = - 1 or - j - 5 = 1

j = - 6 or j = - 4

\frac{( x - 4 )}{2} = 7

3 ∣ x - 16 ∣ = 12

∣ 6 p ∣ = 12

5 - ∣ 3 x + 5 ∣ = 2

- 3 ∣ v ∣ = 0

What is the answer to 12=3|-j-5|+9 ?
The answer to 12=3|-j-5|+9 is j=-6\lor j=-4
Solve for j: 12=3|-j-5|+9
The solution is j=-6\lor j=-4