Solve for x
x=-\frac{\sqrt{6}}{2}+\frac{3}{5}\approx -0.624744871
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10x-6+5\sqrt{6}=0
Combine 5x and 5x to get 10x.
10x+5\sqrt{6}=6
Add 6 to both sides. Anything plus zero gives itself.
10x=6-5\sqrt{6}
Subtract 5\sqrt{6} from both sides.
\frac{10x}{10}=\frac{6-5\sqrt{6}}{10}
Divide both sides by 10.
x=\frac{6-5\sqrt{6}}{10}
Dividing by 10 undoes the multiplication by 10.
x=-\frac{\sqrt{6}}{2}+\frac{3}{5}
Divide 6-5\sqrt{6} by 10.
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