How do you solve #abs(5x)=6#?

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Answer 1 · 2015-06-28T01:09:24

Write one equation where 5x is positive and one where 5x is negative. Solve for x.

Solve #abs(5x)=6#

Since a number inside absolute value symbols can be positive and negative, we will need two equations.

If 5x is positive:

#5x=6#

Divide both sides by 5.

#x=6/5#

If 5x is negative:

#-5x=6#

Divide both sides by -5.

#x=-6/5#

#x=+-6/5#