Solve (3-4i)^2=-x-4i/12

$$( 3 - 4 i ) ^ { 2 } = \frac { - x - 4 i } { 12 }$$

Solve for x

$$x=84+284i$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12.

$$12\left(3-4i\right)^{2}=-x-4i$$

Calculate 3-4i to the power of 2 and get -7-24i.

$$12\left(-7-24i\right)=-x-4i$$

Multiply 12 and -7-24i to get -84-288i.

$$-84-288i=-x-4i$$

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

$$-x-4i=-84-288i$$

Add 4i to both sides.

$$-x=-84-288i+4i$$

Add -84-288i and 4i to get -84-284i.

$$-x=-84-284i$$

Divide both sides by -1.

$$x=\frac{-84-284i}{-1}$$

Divide -84-284i by -1 to get 84+284i.

$$x=84+284i$$