# Evaluate |c/2-3|=5

|c2-3|=5
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
c2-3=±5
Set up the positive portion of the ± solution.
c2-3=5
Solve the first equation for c.
Move all terms not containing c to the right side of the equation.
Add 3 to both sides of the equation.
c2=5+3
c2=8
c2=8
Multiply both sides of the equation by 2.
2⋅c2=2⋅8
Simplify both sides of the equation.
Cancel the common factor of 2.
Cancel the common factor.
2⋅c2=2⋅8
Rewrite the expression.
c=2⋅8
c=2⋅8
Multiply 2 by 8.
c=16
c=16
c=16
Set up the negative portion of the ± solution.
c2-3=-5
Solve the second equation for c.
Move all terms not containing c to the right side of the equation.
Add 3 to both sides of the equation.
c2=-5+3
c2=-2
c2=-2
Multiply both sides of the equation by 2.
2⋅c2=2⋅-2
Simplify both sides of the equation.
Cancel the common factor of 2.
Cancel the common factor.
2⋅c2=2⋅-2
Rewrite the expression.
c=2⋅-2
c=2⋅-2
Multiply 2 by -2.
c=-4
c=-4
c=-4
The solution to the equation includes both the positive and negative portions of the solution.
c=16,-4
Evaluate |c/2-3|=5

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