X^2-(3-6i)x-(8+6i)=0

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


Simplifying
X2 + -1(3 + -6i) * x + -1(8 + 6i) = 0

Reorder the terms for easier multiplication:
X2 + -1x(3 + -6i) + -1(8 + 6i) = 0
X2 + (3 * -1x + -6i * -1x) + -1(8 + 6i) = 0

Reorder the terms:
X2 + (6ix + -3x) + -1(8 + 6i) = 0
X2 + (6ix + -3x) + -1(8 + 6i) = 0
X2 + 6ix + -3x + (8 * -1 + 6i * -1) = 0
X2 + 6ix + -3x + (-8 + -6i) = 0

Reorder the terms:
-8 + X2 + -6i + 6ix + -3x = 0

Solving
-8 + X2 + -6i + 6ix + -3x = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + X2 + -6i + 6ix + 8 + -3x = 0 + 8

Reorder the terms:
-8 + 8 + X2 + -6i + 6ix + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + X2 + -6i + 6ix + -3x = 0 + 8
X2 + -6i + 6ix + -3x = 0 + 8

Combine like terms: 0 + 8 = 8
X2 + -6i + 6ix + -3x = 8

Add '6i' to each side of the equation.
X2 + -6i + 6ix + 6i + -3x = 8 + 6i

Reorder the terms:
X2 + -6i + 6i + 6ix + -3x = 8 + 6i

Combine like terms: -6i + 6i = 0
X2 + 0 + 6ix + -3x = 8 + 6i
X2 + 6ix + -3x = 8 + 6i

Add '-6ix' to each side of the equation.
X2 + 6ix + -6ix + -3x = 8 + 6i + -6ix

Combine like terms: 6ix + -6ix = 0
X2 + 0 + -3x = 8 + 6i + -6ix
X2 + -3x = 8 + 6i + -6ix

Add '3x' to each side of the equation.
X2 + -3x + 3x = 8 + 6i + -6ix + 3x

Combine like terms: -3x + 3x = 0
X2 + 0 = 8 + 6i + -6ix + 3x
X2 = 8 + 6i + -6ix + 3x

Simplifying
X2 = 8 + 6i + -6ix + 3x

Reorder the terms:
-8 + X2 + -6i + 6ix + -3x = 8 + 6i + -6ix + 3x + -8 + -6i + 6ix + -3x

Reorder the terms:
-8 + X2 + -6i + 6ix + -3x = 8 + -8 + 6i + -6i + -6ix + 6ix + 3x + -3x

Combine like terms: 8 + -8 = 0
-8 + X2 + -6i + 6ix + -3x = 0 + 6i + -6i + -6ix + 6ix + 3x + -3x
-8 + X2 + -6i + 6ix + -3x = 6i + -6i + -6ix + 6ix + 3x + -3x

Combine like terms: 6i + -6i = 0
-8 + X2 + -6i + 6ix + -3x = 0 + -6ix + 6ix + 3x + -3x
-8 + X2 + -6i + 6ix + -3x = -6ix + 6ix + 3x + -3x

Combine like terms: -6ix + 6ix = 0
-8 + X2 + -6i + 6ix + -3x = 0 + 3x + -3x
-8 + X2 + -6i + 6ix + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + X2 + -6i + 6ix + -3x = 0

The solution to this equation could not be determined.

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