-(3-4i)+2(6i-4)-3i(2+4i)-(-2i)=0

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Solution for -(3-4i)+2(6i-4)-3i(2+4i)-(-2i)=0 equation: 


Simplifying
-1(3 + -4i) + 2(6i + -4) + -3i(2 + 4i) + -1(-2i) = 0
(3 * -1 + -4i * -1) + 2(6i + -4) + -3i(2 + 4i) + -1(-2i) = 0
(-3 + 4i) + 2(6i + -4) + -3i(2 + 4i) + -1(-2i) = 0

Reorder the terms:
-3 + 4i + 2(-4 + 6i) + -3i(2 + 4i) + -1(-2i) = 0
-3 + 4i + (-4 * 2 + 6i * 2) + -3i(2 + 4i) + -1(-2i) = 0
-3 + 4i + (-8 + 12i) + -3i(2 + 4i) + -1(-2i) = 0
-3 + 4i + -8 + 12i + (2 * -3i + 4i * -3i) + -1(-2i) = 0
-3 + 4i + -8 + 12i + (-6i + -12i2) + -1(-2i) = 0

Remove parenthesis around (-2i)
-3 + 4i + -8 + 12i + -6i + -12i2 + -1 * -2i = 0

Multiply -1 * -2
-3 + 4i + -8 + 12i + -6i + -12i2 + 2i = 0

Reorder the terms:
-3 + -8 + 4i + 12i + -6i + 2i + -12i2 = 0

Combine like terms: -3 + -8 = -11
-11 + 4i + 12i + -6i + 2i + -12i2 = 0

Combine like terms: 4i + 12i = 16i
-11 + 16i + -6i + 2i + -12i2 = 0

Combine like terms: 16i + -6i = 10i
-11 + 10i + 2i + -12i2 = 0

Combine like terms: 10i + 2i = 12i
-11 + 12i + -12i2 = 0

Solving
-11 + 12i + -12i2 = 0

Solving for variable 'i'.

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
0.9166666667 + -1i + i2 = 0

Move the constant term to the right:

Add '-0.9166666667' to each side of the equation.
0.9166666667 + -1i + -0.9166666667 + i2 = 0 + -0.9166666667

Reorder the terms:
0.9166666667 + -0.9166666667 + -1i + i2 = 0 + -0.9166666667

Combine like terms: 0.9166666667 + -0.9166666667 = 0.0000000000
0.0000000000 + -1i + i2 = 0 + -0.9166666667
-1i + i2 = 0 + -0.9166666667

Combine like terms: 0 + -0.9166666667 = -0.9166666667
-1i + i2 = -0.9166666667

The i term is -1i.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1i + 0.25 + i2 = -0.9166666667 + 0.25

Reorder the terms:
0.25 + -1i + i2 = -0.9166666667 + 0.25

Combine like terms: -0.9166666667 + 0.25 = -0.6666666667
0.25 + -1i + i2 = -0.6666666667

Factor a perfect square on the left side:
(i + -0.5)(i + -0.5) = -0.6666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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