# Chapter 11 - Additional Topics - Chapter 11 Test: 16

{$-\frac{7}{4},-\frac{3}{4}$}

#### Work Step by Step

Using the rules for absolute values to generate two equations, we obtain: Step 1: $|4x+5|=2$ Step 2: $4x+5=2$ and $4x+5=-2$ Step 3: $4x=2-5$ and $4x=-2-5$ Step 4: $4x=-3$ and $4x=-7$ Step 5: $x=-\frac{3}{4}$ and $x=-\frac{7}{4}$ Therefore, the solution set for the equation is {$-\frac{7}{4},-\frac{3}{4}$}.

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