3i(6-5i)-4(2+3i)=

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Solution for 3i(6-5i)-4(2+3i)= equation: 


Simplifying
3i(6 + -5i) + -4(2 + 3i) = 0
(6 * 3i + -5i * 3i) + -4(2 + 3i) = 0
(18i + -15i2) + -4(2 + 3i) = 0
18i + -15i2 + (2 * -4 + 3i * -4) = 0
18i + -15i2 + (-8 + -12i) = 0

Reorder the terms:
-8 + 18i + -12i + -15i2 = 0

Combine like terms: 18i + -12i = 6i
-8 + 6i + -15i2 = 0

Solving
-8 + 6i + -15i2 = 0

Solving for variable 'i'.

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.5333333333 + -0.4i + i2 = 0

Move the constant term to the right:

Add '-0.5333333333' to each side of the equation.
0.5333333333 + -0.4i + -0.5333333333 + i2 = 0 + -0.5333333333

Reorder the terms:
0.5333333333 + -0.5333333333 + -0.4i + i2 = 0 + -0.5333333333

Combine like terms: 0.5333333333 + -0.5333333333 = 0.0000000000
0.0000000000 + -0.4i + i2 = 0 + -0.5333333333
-0.4i + i2 = 0 + -0.5333333333

Combine like terms: 0 + -0.5333333333 = -0.5333333333
-0.4i + i2 = -0.5333333333

The i term is -0.4i.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4i + 0.04 + i2 = -0.5333333333 + 0.04

Reorder the terms:
0.04 + -0.4i + i2 = -0.5333333333 + 0.04

Combine like terms: -0.5333333333 + 0.04 = -0.4933333333
0.04 + -0.4i + i2 = -0.4933333333

Factor a perfect square on the left side:
(i + -0.2)(i + -0.2) = -0.4933333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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