x^2+(2-3i)x+15-21i=0

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Solution for x^2+(2-3i)x+15-21i=0 equation:


Simplifying
x2 + (2 + -3i) * x + 15 + -21i = 0

Reorder the terms for easier multiplication:
x2 + x(2 + -3i) + 15 + -21i = 0
x2 + (2 * x + -3i * x) + 15 + -21i = 0

Reorder the terms:
x2 + (-3ix + 2x) + 15 + -21i = 0
x2 + (-3ix + 2x) + 15 + -21i = 0

Reorder the terms:
15 + -21i + -3ix + 2x + x2 = 0

Solving
15 + -21i + -3ix + 2x + x2 = 0

Solving for variable 'i'.

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

Add '-15' to each side of the equation.
15 + -21i + -3ix + 2x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -21i + -3ix + 2x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -21i + -3ix + 2x + x2 = 0 + -15
-21i + -3ix + 2x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-21i + -3ix + 2x + x2 = -15

Add '-2x' to each side of the equation.
-21i + -3ix + 2x + -2x + x2 = -15 + -2x

Combine like terms: 2x + -2x = 0
-21i + -3ix + 0 + x2 = -15 + -2x
-21i + -3ix + x2 = -15 + -2x

Add '-1x2' to each side of the equation.
-21i + -3ix + x2 + -1x2 = -15 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
-21i + -3ix + 0 = -15 + -2x + -1x2
-21i + -3ix = -15 + -2x + -1x2

Reorder the terms:
15 + -21i + -3ix + 2x + x2 = -15 + -2x + -1x2 + 15 + 2x + x2

Reorder the terms:
15 + -21i + -3ix + 2x + x2 = -15 + 15 + -2x + 2x + -1x2 + x2

Combine like terms: -15 + 15 = 0
15 + -21i + -3ix + 2x + x2 = 0 + -2x + 2x + -1x2 + x2
15 + -21i + -3ix + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
15 + -21i + -3ix + 2x + x2 = 0 + -1x2 + x2
15 + -21i + -3ix + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
15 + -21i + -3ix + 2x + x2 = 0

The solution to this equation could not be determined.

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