2x^2-[3+7i]x+9i-3=0

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Solution for 2x^2-[3+7i]x+9i-3=0 equation: 


Simplifying
2x2 + -1[3 + 7i] * x + 9i + -3 = 0

Reorder the terms for easier multiplication:
2x2 + -1x[3 + 7i] + 9i + -3 = 0
2x2 + [3 * -1x + 7i * -1x] + 9i + -3 = 0

Reorder the terms:
2x2 + [-7ix + -3x] + 9i + -3 = 0
2x2 + [-7ix + -3x] + 9i + -3 = 0

Reorder the terms:
-3 + 9i + -7ix + -3x + 2x2 = 0

Solving
-3 + 9i + -7ix + -3x + 2x2 = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + 9i + -7ix + -3x + 3 + 2x2 = 0 + 3

Reorder the terms:
-3 + 3 + 9i + -7ix + -3x + 2x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 9i + -7ix + -3x + 2x2 = 0 + 3
9i + -7ix + -3x + 2x2 = 0 + 3

Combine like terms: 0 + 3 = 3
9i + -7ix + -3x + 2x2 = 3

Add '3x' to each side of the equation.
9i + -7ix + -3x + 3x + 2x2 = 3 + 3x

Combine like terms: -3x + 3x = 0
9i + -7ix + 0 + 2x2 = 3 + 3x
9i + -7ix + 2x2 = 3 + 3x

Add '-2x2' to each side of the equation.
9i + -7ix + 2x2 + -2x2 = 3 + 3x + -2x2

Combine like terms: 2x2 + -2x2 = 0
9i + -7ix + 0 = 3 + 3x + -2x2
9i + -7ix = 3 + 3x + -2x2

Reorder the terms:
-3 + 9i + -7ix + -3x + 2x2 = 3 + 3x + -2x2 + -3 + -3x + 2x2

Reorder the terms:
-3 + 9i + -7ix + -3x + 2x2 = 3 + -3 + 3x + -3x + -2x2 + 2x2

Combine like terms: 3 + -3 = 0
-3 + 9i + -7ix + -3x + 2x2 = 0 + 3x + -3x + -2x2 + 2x2
-3 + 9i + -7ix + -3x + 2x2 = 3x + -3x + -2x2 + 2x2

Combine like terms: 3x + -3x = 0
-3 + 9i + -7ix + -3x + 2x2 = 0 + -2x2 + 2x2
-3 + 9i + -7ix + -3x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-3 + 9i + -7ix + -3x + 2x2 = 0

The solution to this equation could not be determined.

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