Solve ix=5.64/10

$$i x = \frac { 5.64 } { 10 }$$

Solve for x

$$x=-0.564i$$

Steps for Solving Linear Equation

Expand \frac{5.64}{10} by multiplying both numerator and the denominator by 100.

$$ix=\frac{564}{1000}$$

Reduce the fraction \frac{564}{1000} to lowest terms by extracting and canceling out 4.

$$ix=\frac{141}{250}$$

Divide both sides by i.

$$x=\frac{\frac{141}{250}}{i}$$

Multiply both numerator and denominator of \frac{\frac{141}{250}}{i} by imaginary unit i.

$$x=\frac{\frac{141}{250}i}{1i^{2}}$$

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

$$x=\frac{\frac{141}{250}i}{-1}$$

Divide \frac{141}{250}i by -1 to get -\frac{141}{250}i.

$$x=-\frac{141}{250}i$$