Solve for x (complex solution)
x=\frac{35\sqrt{3}i}{3}\approx 20.207259422i
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\sqrt{3}ix+40=5
Factor -3=3\left(-1\right). Rewrite the square root of the product \sqrt{3\left(-1\right)} as the product of square roots \sqrt{3}\sqrt{-1}. By definition, the square root of -1 is i.
\sqrt{3}ix=5-40
Subtract 40 from both sides.
\sqrt{3}ix=-35
Subtract 40 from 5 to get -35.
\frac{\sqrt{3}ix}{\sqrt{3}i}=-\frac{35}{\sqrt{3}i}
Divide both sides by i\sqrt{3}.
x=-\frac{35}{\sqrt{3}i}
Dividing by i\sqrt{3} undoes the multiplication by i\sqrt{3}.
x=\frac{35\sqrt{3}i}{3}
Divide -35 by i\sqrt{3}.
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