Answer
$x=-\frac{1}{2}$ or $x=4$.
Work Step by Step
$2x^2=7x+4\\2x^2-7x-4=0\\2x^2+x-8x-4=0\\x(2x+1)-4(2x+1)=0\\(2x+1)(x-4)=0$
Thus $x=-\frac{1}{2}$ or $x=4$.
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