Solve for z
z=\sqrt{3}\left(\frac{1}{4}-\frac{1}{4}i\right)+\left(\frac{1}{4}+\frac{1}{4}i\right)\approx 0.683012702-0.183012702i
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\left(1+\sqrt{3}i\right)z=1+i
The equation is in standard form.
\frac{\left(1+\sqrt{3}i\right)z}{1+\sqrt{3}i}=\frac{1+i}{1+\sqrt{3}i}
Divide both sides by 1+i\sqrt{3}.
z=\frac{1+i}{1+\sqrt{3}i}
Dividing by 1+i\sqrt{3} undoes the multiplication by 1+i\sqrt{3}.
z=\sqrt{3}\left(\frac{1}{4}-\frac{1}{4}i\right)+\left(\frac{1}{4}+\frac{1}{4}i\right)
Divide 1+i by 1+i\sqrt{3}.
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