Answer
$x=\frac{-3\pm\sqrt {17}}{4}$
Work Step by Step
$2x^2 + 3x = 1$
$2x^2 + 3x -1=0$
$x=\frac{-3\pm\sqrt {3^2-4*2*(-1)}}{2*2}=\frac{-3\pm\sqrt {9+8}}{4}=\frac{-3\pm\sqrt {17}}{4}$
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