Solve 4:4/2.4quad32:x=5.6i0.7

$$\frac { 4 : 4 } { 2.4 } \quad 32 : x = 5.6 i 0.7$$

Solve for x

$$x=-\frac{500}{147}i\approx -3.401360544i$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\frac{\frac{4}{4}}{2.4}\times 32=5.6i\times 0.7x$$

Divide 4 by 4 to get 1.

$$\frac{1}{2.4}\times 32=5.6i\times 0.7x$$

Expand \frac{1}{2.4} by multiplying both numerator and the denominator by 10.

$$\frac{10}{24}\times 32=5.6i\times 0.7x$$

Reduce the fraction \frac{10}{24} to lowest terms by extracting and canceling out 2.

$$\frac{5}{12}\times 32=5.6i\times 0.7x$$

Express \frac{5}{12}\times 32 as a single fraction.

$$\frac{5\times 32}{12}=5.6i\times 0.7x$$

Multiply 5 and 32 to get 160.

$$\frac{160}{12}=5.6i\times 0.7x$$

Reduce the fraction \frac{160}{12} to lowest terms by extracting and canceling out 4.

$$\frac{40}{3}=5.6i\times 0.7x$$

Multiply 5.6i and 0.7 to get 3.92i.

$$\frac{40}{3}=3.92ix$$

Swap sides so that all variable terms are on the left hand side.

$$3.92ix=\frac{40}{3}$$

Divide both sides by 3.92i.

$$x=\frac{\frac{40}{3}}{3.92i}$$

Multiply both numerator and denominator of \frac{\frac{40}{3}}{3.92i} by imaginary unit i.

$$x=\frac{\frac{40}{3}i}{3.92i^{2}}$$

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

$$x=\frac{\frac{40}{3}i}{-3.92}$$

Divide \frac{40}{3}i by -3.92 to get -\frac{500}{147}i.

$$x=-\frac{500}{147}i$$