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Solve for x (complex solution)
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\sqrt{-1-1-1-1-1}=x
Subtract 1 from 1 to get 0.
\sqrt{-2-1-1-1}=x
Subtract 1 from -1 to get -2.
\sqrt{-3-1-1}=x
Subtract 1 from -2 to get -3.
\sqrt{-4-1}=x
Subtract 1 from -3 to get -4.
\sqrt{-5}=x
Subtract 1 from -4 to get -5.
\sqrt{5}i=x
Factor -5=5\left(-1\right). Rewrite the square root of the product \sqrt{5\left(-1\right)} as the product of square roots \sqrt{5}\sqrt{-1}. By definition, the square root of -1 is i.
x=\sqrt{5}i
Swap sides so that all variable terms are on the left hand side.