Question

solve the equation
|n|=|-9n-6|

Answer 1

Answer:

x=5

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 2: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 3: Divide both sides by 2.

2x2=102

x=5

Answer 2

Answer:

n = -0.6, -0.75.

Step-by-step explanation:

One way to do these is to square both sides.

|n|=|-9n-6|

We square both sides of the equation:

n^2 = 81n^2 + 108n + 36

80n^2 + 108n + 36 = 0

20n^2 + 27n + 9 = 0

20n^2 + 15n + 12n + 9 = 0

5n(4n + 3) + 3(4n + 3) = 0

(5n + 3)(4n + 3) = 0

n = -0.6, -0.75.