w^2-3(1+2i)w-8+6i=0

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Solution for w^2-3(1+2i)w-8+6i=0 equation: 


Simplifying
w2 + -3(1 + 2i) * w + -8 + 6i = 0

Reorder the terms for easier multiplication:
w2 + -3w(1 + 2i) + -8 + 6i = 0
w2 + (1 * -3w + 2i * -3w) + -8 + 6i = 0

Reorder the terms:
w2 + (-6iw + -3w) + -8 + 6i = 0
w2 + (-6iw + -3w) + -8 + 6i = 0

Reorder the terms:
-8 + 6i + -6iw + -3w + w2 = 0

Solving
-8 + 6i + -6iw + -3w + w2 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 6i + -6iw + -3w + 8 + w2 = 0 + 8

Reorder the terms:
-8 + 8 + 6i + -6iw + -3w + w2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 6i + -6iw + -3w + w2 = 0 + 8
6i + -6iw + -3w + w2 = 0 + 8

Combine like terms: 0 + 8 = 8
6i + -6iw + -3w + w2 = 8

Add '3w' to each side of the equation.
6i + -6iw + -3w + 3w + w2 = 8 + 3w

Combine like terms: -3w + 3w = 0
6i + -6iw + 0 + w2 = 8 + 3w
6i + -6iw + w2 = 8 + 3w

Add '-1w2' to each side of the equation.
6i + -6iw + w2 + -1w2 = 8 + 3w + -1w2

Combine like terms: w2 + -1w2 = 0
6i + -6iw + 0 = 8 + 3w + -1w2
6i + -6iw = 8 + 3w + -1w2

Reorder the terms:
-8 + 6i + -6iw + -3w + w2 = 8 + 3w + -1w2 + -8 + -3w + w2

Reorder the terms:
-8 + 6i + -6iw + -3w + w2 = 8 + -8 + 3w + -3w + -1w2 + w2

Combine like terms: 8 + -8 = 0
-8 + 6i + -6iw + -3w + w2 = 0 + 3w + -3w + -1w2 + w2
-8 + 6i + -6iw + -3w + w2 = 3w + -3w + -1w2 + w2

Combine like terms: 3w + -3w = 0
-8 + 6i + -6iw + -3w + w2 = 0 + -1w2 + w2
-8 + 6i + -6iw + -3w + w2 = -1w2 + w2

Combine like terms: -1w2 + w2 = 0
-8 + 6i + -6iw + -3w + w2 = 0

The solution to this equation could not be determined.

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