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

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

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

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

Combine like terms: i + -6i = -5i
6 + -5i + 3i2 = 0

Solving
6 + -5i + 3i2 = 0

Solving for variable 'i'.

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

Divide each side by '3'.
2 + -1.666666667i + i2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.666666667i + -2 + i2 = 0 + -2

Reorder the terms:
2 + -2 + -1.666666667i + i2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.666666667i + i2 = 0 + -2
-1.666666667i + i2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.666666667i + i2 = -2

The i term is -1.666666667i.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667i + 0.6944444447 + i2 = -2 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667i + i2 = -2 + 0.6944444447

Combine like terms: -2 + 0.6944444447 = -1.3055555553
0.6944444447 + -1.666666667i + i2 = -1.3055555553

Factor a perfect square on the left side:
(i + -0.8333333335)(i + -0.8333333335) = -1.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.