# Solve for h |5h+3|=2 |5h+3|=2
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
5h+3=±2
Set up the positive portion of the ± solution.
5h+3=2
Solve the first equation for h.
Move all terms not containing h to the right side of the equation.
Subtract 3 from both sides of the equation.
5h=2-3
Subtract 3 from 2.
5h=-1
5h=-1
Divide each term by 5 and simplify.
Divide each term in 5h=-1 by 5.
5h5=-15
Cancel the common factor of 5.
Cancel the common factor.
5h5=-15
Divide h by 1.
h=-15
h=-15
Move the negative in front of the fraction.
h=-15
h=-15
h=-15
Set up the negative portion of the ± solution.
5h+3=-2
Solve the second equation for h.
Move all terms not containing h to the right side of the equation.
Subtract 3 from both sides of the equation.
5h=-2-3
Subtract 3 from -2.
5h=-5
5h=-5
Divide each term by 5 and simplify.
Divide each term in 5h=-5 by 5.
5h5=-55
Cancel the common factor of 5.
Cancel the common factor.
5h5=-55
Divide h by 1.
h=-55
h=-55
Divide -5 by 5.
h=-1
h=-1
h=-1
The solution to the equation includes both the positive and negative portions of the solution.
h=-15,-1
The result can be shown in multiple forms.
Exact Form:
h=-15,-1
Decimal Form:
h=-0.2,-1
Solve for h |5h+3|=2

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