Chapter 1 - Section 1.5 - Equations - 1.5 Exercises - Page 57: 114

The two solutions are $x=\dfrac{3}{2}$ and $x=-\dfrac{3}{2}$

$|2x|=3$ By the definition of absolute value, solving this equation is equivalent to solving two separate equations, which are $2x=3$ and $2x=-3$ Solve both equations for $x$: $2x=3$ $x=\dfrac{3}{2}$ $2x=-3$ $x=-\dfrac{3}{2}$ The two solutions are $x=\dfrac{3}{2}$ and $x=-\dfrac{3}{2}$