Solve 12=3vi/2

$$12 = \frac { 3 v i } { 2 }$$

Solve for v

$$v=-8i$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$12\times 2=3vi$$

Multiply 12 and 2 to get 24.

$$24=3vi$$

Multiply 3 and i to get 3i.

$$24=3iv$$

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

$$3iv=24$$

Divide both sides by 3i.

$$v=\frac{24}{3i}$$

Multiply both numerator and denominator of \frac{24}{3i} by imaginary unit i.

$$v=\frac{24i}{3i^{2}}$$

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

$$v=\frac{24i}{-3}$$

Divide 24i by -3 to get -8i.

$$v=-8i$$