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\left(-2\sqrt{2}\right)x=\sqrt{5}
The equation is in standard form.
\frac{\left(-2\sqrt{2}\right)x}{-2\sqrt{2}}=\frac{\sqrt{5}}{-2\sqrt{2}}
Divide both sides by -2\sqrt{2}.
x=\frac{\sqrt{5}}{-2\sqrt{2}}
Dividing by -2\sqrt{2} undoes the multiplication by -2\sqrt{2}.
x=-\frac{\sqrt{10}}{4}
Divide \sqrt{5} by -2\sqrt{2}.