Solve for x
x=50\sqrt{2}\approx 70.710678119
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x\sqrt{2}=100
Swap sides so that all variable terms are on the left hand side.
\sqrt{2}x=100
The equation is in standard form.
\frac{\sqrt{2}x}{\sqrt{2}}=\frac{100}{\sqrt{2}}
Divide both sides by \sqrt{2}.
x=\frac{100}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
x=50\sqrt{2}
Divide 100 by \sqrt{2}.
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