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How do you solve #abs(4x+1)=0.5#?

1 Answer

May 29, 2017

#x = -1/8 or -3/8#

Explanation:

To solve this, you rewrite it like this:
#|4x+1| = 0.5 ⇔ 4x+1 = +- 0.5#

This means the equation has two solutions:
Solution 1:
#4x+1=0.5 iff 4x = -0.5 iff x = -1/8#

Solution 2:
#4x+1 = -0.5 iff 4x = -1.5 iff x = -3/8#

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