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Solve for x (complex solution)
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\left(x-1\right)^{2}=-27
Subtracting 27 from itself leaves 0.
x-1=3\sqrt{3}i x-1=-3\sqrt{3}i
Take the square root of both sides of the equation.
x-1-\left(-1\right)=3\sqrt{3}i-\left(-1\right) x-1-\left(-1\right)=-3\sqrt{3}i-\left(-1\right)
Add 1 to both sides of the equation.
x=3\sqrt{3}i-\left(-1\right) x=-3\sqrt{3}i-\left(-1\right)
Subtracting -1 from itself leaves 0.
x=1+3\sqrt{3}i
Subtract -1 from 3i\sqrt{3}.
x=-3\sqrt{3}i+1
Subtract -1 from -3i\sqrt{3}.
x=1+3\sqrt{3}i x=-3\sqrt{3}i+1
The equation is now solved.