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x+\sqrt{2}=\frac{\sqrt{2}}{2}
Get the value of \sin(\frac{\pi }{4}) from trigonometric values table.
x=\frac{\sqrt{2}}{2}-\sqrt{2}
Subtract \sqrt{2} from both sides.
x=-\frac{1}{2}\sqrt{2}
Combine \frac{\sqrt{2}}{2} and -\sqrt{2} to get -\frac{1}{2}\sqrt{2}.