Answer
$x=\frac{-2\pm\sqrt5}{2}$
Work Step by Step
We simplify as follows:
$4x^{2}+8x-1=0$
$4x^{2}+8x=1$
$4x^{2}+8x+4=5$
$(2x+2)^{2}=5$
$2x+2=\pm\sqrt5$
$2x=-2\pm\sqrt5$
$x=\frac{-2\pm\sqrt5}{2}$
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