# Solve for v |5v+15|=5 |5v+15|=5
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
5v+15=±5
Set up the positive portion of the ± solution.
5v+15=5
Solve the first equation for v.
Move all terms not containing v to the right side of the equation.
Subtract 15 from both sides of the equation.
5v=5-15
Subtract 15 from 5.
5v=-10
5v=-10
Divide each term by 5 and simplify.
Divide each term in 5v=-10 by 5.
5v5=-105
Cancel the common factor of 5.
Cancel the common factor.
5v5=-105
Divide v by 1.
v=-105
v=-105
Divide -10 by 5.
v=-2
v=-2
v=-2
Set up the negative portion of the ± solution.
5v+15=-5
Solve the second equation for v.
Move all terms not containing v to the right side of the equation.
Subtract 15 from both sides of the equation.
5v=-5-15
Subtract 15 from -5.
5v=-20
5v=-20
Divide each term by 5 and simplify.
Divide each term in 5v=-20 by 5.
5v5=-205
Cancel the common factor of 5.
Cancel the common factor.
5v5=-205
Divide v by 1.
v=-205
v=-205
Divide -20 by 5.
v=-4
v=-4
v=-4
The solution to the equation includes both the positive and negative portions of the solution.
v=-2,-4
Solve for v |5v+15|=5

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