Solve ix:(-2/3)=4/9

$$i x : ( - \frac { 2 } { 3 } ) = \frac { 4 } { 9 }$$

Solve for x

$$x=\frac{8}{27}i\approx 0.296296296i$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{2}{3}.

$$ix=\frac{4}{9}\left(-\frac{2}{3}\right)$$

Multiply \frac{4}{9} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$ix=\frac{4\left(-2\right)}{9\times 3}$$

Do the multiplications in the fraction \frac{4\left(-2\right)}{9\times 3}.

$$ix=\frac{-8}{27}$$

Fraction \frac{-8}{27} can be rewritten as -\frac{8}{27} by extracting the negative sign.

$$ix=-\frac{8}{27}$$

Divide both sides by i.

$$x=\frac{-\frac{8}{27}}{i}$$

Multiply both numerator and denominator of \frac{-\frac{8}{27}}{i} by imaginary unit i.

$$x=\frac{-\frac{8}{27}i}{1i^{2}}$$

By definition, i^{2} is -1. Calculate the denominator.

$$x=\frac{-\frac{8}{27}i}{-1}$$

Divide -\frac{8}{27}i by -1 to get \frac{8}{27}i.

$$x=\frac{8}{27}i$$