Answer
$x=-\frac{1}{2},\frac{4}{5}$
Work Step by Step
$10x^{2}=3x+4$
$10x^{2}-3x-4=0$
$10x^{2}+5x-8x-4=0$
$5x(2x+1)-4(2x+1)=0$
$(2x+1)(5x-4)=0$
$2x+1=0$ and $5x-4=0$
$2x=-1$ and $5x=4$
$x=-\frac{1}{2}$ and $x=\frac{4}{5}$
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