Answer
$x=-1$ or $x=\frac{7}{5}$
Work Step by Step
$5x^2-2x=7\\5x^2-2x-7=0\\5x^2+5x-7x-7=0\\5x(x+1)-7(x+1)=0\\(x+1)(5x-7)=0$
Thus $x=-1$ or $x=\frac{7}{5}$
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