# Solve for n |(-5n)/5|=2 |-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
Solve the first equation for n.
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
Solve the second equation for n.
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

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