x^2+(-7+3i)x+(16-8i)=0

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Solution for x^2+(-7+3i)x+(16-8i)=0 equation:


Simplifying
x2 + (-7 + 3i) * x + (16 + -8i) = 0

Reorder the terms for easier multiplication:
x2 + x(-7 + 3i) + (16 + -8i) = 0
x2 + (-7 * x + 3i * x) + (16 + -8i) = 0

Reorder the terms:
x2 + (3ix + -7x) + (16 + -8i) = 0
x2 + (3ix + -7x) + (16 + -8i) = 0

Remove parenthesis around (16 + -8i)
x2 + 3ix + -7x + 16 + -8i = 0

Reorder the terms:
16 + -8i + 3ix + -7x + x2 = 0

Solving
16 + -8i + 3ix + -7x + x2 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -8i + 3ix + -7x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -8i + 3ix + -7x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -8i + 3ix + -7x + x2 = 0 + -16
-8i + 3ix + -7x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-8i + 3ix + -7x + x2 = -16

Add '7x' to each side of the equation.
-8i + 3ix + -7x + 7x + x2 = -16 + 7x

Combine like terms: -7x + 7x = 0
-8i + 3ix + 0 + x2 = -16 + 7x
-8i + 3ix + x2 = -16 + 7x

Add '-1x2' to each side of the equation.
-8i + 3ix + x2 + -1x2 = -16 + 7x + -1x2

Combine like terms: x2 + -1x2 = 0
-8i + 3ix + 0 = -16 + 7x + -1x2
-8i + 3ix = -16 + 7x + -1x2

Reorder the terms:
16 + -8i + 3ix + -7x + x2 = -16 + 7x + -1x2 + 16 + -7x + x2

Reorder the terms:
16 + -8i + 3ix + -7x + x2 = -16 + 16 + 7x + -7x + -1x2 + x2

Combine like terms: -16 + 16 = 0
16 + -8i + 3ix + -7x + x2 = 0 + 7x + -7x + -1x2 + x2
16 + -8i + 3ix + -7x + x2 = 7x + -7x + -1x2 + x2

Combine like terms: 7x + -7x = 0
16 + -8i + 3ix + -7x + x2 = 0 + -1x2 + x2
16 + -8i + 3ix + -7x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
16 + -8i + 3ix + -7x + x2 = 0

The solution to this equation could not be determined.

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