|-5n5|=2

Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

-5n5=±2

Set up the positive portion of the ± solution.

-5n5=2

Cancel the common factor of -5 and 5.

Factor 5 out of -5n.

5(-n)5=2

Cancel the common factors.

Factor 5 out of 5.

5(-n)5(1)=2

Cancel the common factor.

5(-n)5⋅1=2

Rewrite the expression.

-n1=2

Divide -n by 1.

-n=2

-n=2

-n=2

Multiply each term in -n=2 by -1

Multiply each term in -n=2 by -1.

(-n)⋅-1=2⋅-1

Multiply (-n)⋅-1.

Multiply -1 by -1.

1n=2⋅-1

Multiply n by 1.

n=2⋅-1

n=2⋅-1

Multiply 2 by -1.

n=-2

n=-2

n=-2

Set up the negative portion of the ± solution.

-5n5=-2

Cancel the common factor of -5 and 5.

Factor 5 out of -5n.

5(-n)5=-(2)

Cancel the common factors.

Factor 5 out of 5.

5(-n)5(1)=-(2)

Cancel the common factor.

5(-n)5⋅1=-(2)

Rewrite the expression.

-n1=-(2)

Divide -n by 1.

-n=-(2)

-n=-(2)

-n=-(2)

Multiply -1 by 2.

-n=-2

Multiply each term in -n=-2 by -1

Multiply each term in -n=-2 by -1.

(-n)⋅-1=(-2)⋅-1

Multiply (-n)⋅-1.

Multiply -1 by -1.

1n=(-2)⋅-1

Multiply n by 1.

n=(-2)⋅-1

n=(-2)⋅-1

Multiply -2 by -1.

n=2

n=2

n=2

The solution to the equation includes both the positive and negative portions of the solution.

n=-2,2

Solve for n |(-5n)/5|=2