(x^2+x-3x-3)(x-(2-3i))=

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


Simplifying
(x2 + x + -3x + -3)(x + -1(2 + -3i)) = 0

Reorder the terms:
(-3 + x + -3x + x2)(x + -1(2 + -3i)) = 0

Combine like terms: x + -3x = -2x
(-3 + -2x + x2)(x + -1(2 + -3i)) = 0
(-3 + -2x + x2)(x + (2 * -1 + -3i * -1)) = 0
(-3 + -2x + x2)(x + (-2 + 3i)) = 0

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

Multiply (-3 + -2x + x2) * (-2 + 3i + x)
(-3(-2 + 3i + x) + -2x * (-2 + 3i + x) + x2(-2 + 3i + x)) = 0
((-2 * -3 + 3i * -3 + x * -3) + -2x * (-2 + 3i + x) + x2(-2 + 3i + x)) = 0
((6 + -9i + -3x) + -2x * (-2 + 3i + x) + x2(-2 + 3i + x)) = 0
(6 + -9i + -3x + (-2 * -2x + 3i * -2x + x * -2x) + x2(-2 + 3i + x)) = 0

Reorder the terms:
(6 + -9i + -3x + (-6ix + 4x + -2x2) + x2(-2 + 3i + x)) = 0
(6 + -9i + -3x + (-6ix + 4x + -2x2) + x2(-2 + 3i + x)) = 0
(6 + -9i + -3x + -6ix + 4x + -2x2 + (-2 * x2 + 3i * x2 + x * x2)) = 0

Reorder the terms:
(6 + -9i + -3x + -6ix + 4x + -2x2 + (3ix2 + -2x2 + x3)) = 0
(6 + -9i + -3x + -6ix + 4x + -2x2 + (3ix2 + -2x2 + x3)) = 0

Reorder the terms:
(6 + -9i + -6ix + 3ix2 + -3x + 4x + -2x2 + -2x2 + x3) = 0

Combine like terms: -3x + 4x = 1x
(6 + -9i + -6ix + 3ix2 + 1x + -2x2 + -2x2 + x3) = 0

Combine like terms: -2x2 + -2x2 = -4x2
(6 + -9i + -6ix + 3ix2 + 1x + -4x2 + x3) = 0

Solving
6 + -9i + -6ix + 3ix2 + 1x + -4x2 + x3 = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -9i + -6ix + 3ix2 + 1x + -4x2 + -6 + x3 = 0 + -6

Reorder the terms:
6 + -6 + -9i + -6ix + 3ix2 + 1x + -4x2 + x3 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -9i + -6ix + 3ix2 + 1x + -4x2 + x3 = 0 + -6
-9i + -6ix + 3ix2 + 1x + -4x2 + x3 = 0 + -6

Combine like terms: 0 + -6 = -6
-9i + -6ix + 3ix2 + 1x + -4x2 + x3 = -6

Add '-1x' to each side of the equation.
-9i + -6ix + 3ix2 + 1x + -4x2 + -1x + x3 = -6 + -1x

Reorder the terms:
-9i + -6ix + 3ix2 + 1x + -1x + -4x2 + x3 = -6 + -1x

Combine like terms: 1x + -1x = 0
-9i + -6ix + 3ix2 + 0 + -4x2 + x3 = -6 + -1x
-9i + -6ix + 3ix2 + -4x2 + x3 = -6 + -1x

Add '4x2' to each side of the equation.
-9i + -6ix + 3ix2 + -4x2 + 4x2 + x3 = -6 + -1x + 4x2

Combine like terms: -4x2 + 4x2 = 0
-9i + -6ix + 3ix2 + 0 + x3 = -6 + -1x + 4x2
-9i + -6ix + 3ix2 + x3 = -6 + -1x + 4x2

Add '-1x3' to each side of the equation.
-9i + -6ix + 3ix2 + x3 + -1x3 = -6 + -1x + 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-9i + -6ix + 3ix2 + 0 = -6 + -1x + 4x2 + -1x3
-9i + -6ix + 3ix2 = -6 + -1x + 4x2 + -1x3

Reorder the terms:
6 + -9i + -6ix + 3ix2 + x + -4x2 + x3 = -6 + -1x + 4x2 + -1x3 + 6 + x + -4x2 + x3

Reorder the terms:
6 + -9i + -6ix + 3ix2 + x + -4x2 + x3 = -6 + 6 + -1x + x + 4x2 + -4x2 + -1x3 + x3

Combine like terms: -6 + 6 = 0
6 + -9i + -6ix + 3ix2 + x + -4x2 + x3 = 0 + -1x + x + 4x2 + -4x2 + -1x3 + x3
6 + -9i + -6ix + 3ix2 + x + -4x2 + x3 = -1x + x + 4x2 + -4x2 + -1x3 + x3

Combine like terms: -1x + x = 0
6 + -9i + -6ix + 3ix2 + x + -4x2 + x3 = 0 + 4x2 + -4x2 + -1x3 + x3
6 + -9i + -6ix + 3ix2 + x + -4x2 + x3 = 4x2 + -4x2 + -1x3 + x3

Combine like terms: 4x2 + -4x2 = 0
6 + -9i + -6ix + 3ix2 + x + -4x2 + x3 = 0 + -1x3 + x3
6 + -9i + -6ix + 3ix2 + x + -4x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
6 + -9i + -6ix + 3ix2 + x + -4x2 + x3 = 0

The solution to this equation could not be determined.

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