Answer
$x= .5, -1.5$
Work Step by Step
$4x^2+4x-3=0$
$x=(-b±\sqrt {b^2-4ac})/2a$
$x=(-4±\sqrt {4^2-4*4*-3})/2*4$
$x=(-4±\sqrt {16+48})/8$
$x=(-4±\sqrt {64})/8$
$x=(-4±8)/8$
$x=(-4+8)/8$
$x=4/8=.5$
$x=(-4-8)/8$
$x=-12/8=-1.5$
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