Solve for k
k=\frac{7\sqrt{3}i}{129}\approx 0.093987253i
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43k\sqrt{3}i=-7
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.
43ik\sqrt{3}=-7
Multiply 43 and i to get 43i.
43\sqrt{3}ik=-7
Reorder the terms.
\frac{43\sqrt{3}ik}{43\sqrt{3}i}=-\frac{7}{43\sqrt{3}i}
Divide both sides by 43i\sqrt{3}.
k=-\frac{7}{43\sqrt{3}i}
Dividing by 43i\sqrt{3} undoes the multiplication by 43i\sqrt{3}.
k=\frac{7\sqrt{3}i}{129}
Divide -7 by 43i\sqrt{3}.
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