(x-3+3i)(x-3-3i)=0

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Solution for (x-3+3i)(x-3-3i)=0 equation: 


Simplifying
(x + -3 + 3i)(x + -3 + -3i) = 0

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

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

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

Reorder the terms:
(9 + 9i + -3x + (-9i + 3ix + -9i2) + x(-3 + -3i + x)) = 0
(9 + 9i + -3x + (-9i + 3ix + -9i2) + x(-3 + -3i + x)) = 0
(9 + 9i + -3x + -9i + 3ix + -9i2 + (-3 * x + -3i * x + x * x)) = 0

Reorder the terms:
(9 + 9i + -3x + -9i + 3ix + -9i2 + (-3ix + -3x + x2)) = 0
(9 + 9i + -3x + -9i + 3ix + -9i2 + (-3ix + -3x + x2)) = 0

Reorder the terms:
(9 + 9i + -9i + 3ix + -3ix + -9i2 + -3x + -3x + x2) = 0

Combine like terms: 9i + -9i = 0
(9 + 0 + 3ix + -3ix + -9i2 + -3x + -3x + x2) = 0
(9 + 3ix + -3ix + -9i2 + -3x + -3x + x2) = 0

Combine like terms: 3ix + -3ix = 0
(9 + 0 + -9i2 + -3x + -3x + x2) = 0
(9 + -9i2 + -3x + -3x + x2) = 0

Combine like terms: -3x + -3x = -6x
(9 + -9i2 + -6x + x2) = 0

Solving
9 + -9i2 + -6x + x2 = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9i2 + -6x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -9i2 + -6x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -9i2 + -6x + x2 = 0 + -9
-9i2 + -6x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-9i2 + -6x + x2 = -9

Add '6x' to each side of the equation.
-9i2 + -6x + 6x + x2 = -9 + 6x

Combine like terms: -6x + 6x = 0
-9i2 + 0 + x2 = -9 + 6x
-9i2 + x2 = -9 + 6x

Add '-1x2' to each side of the equation.
-9i2 + x2 + -1x2 = -9 + 6x + -1x2

Combine like terms: x2 + -1x2 = 0
-9i2 + 0 = -9 + 6x + -1x2
-9i2 = -9 + 6x + -1x2

Divide each side by '-9'.
i2 = 1 + -0.6666666667x + 0.1111111111x2

Simplifying
i2 = 1 + -0.6666666667x + 0.1111111111x2

Reorder the terms:
-1 + i2 + 0.6666666667x + -0.1111111111x2 = 1 + -0.6666666667x + 0.1111111111x2 + -1 + 0.6666666667x + -0.1111111111x2

Reorder the terms:
-1 + i2 + 0.6666666667x + -0.1111111111x2 = 1 + -1 + -0.6666666667x + 0.6666666667x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: 1 + -1 = 0
-1 + i2 + 0.6666666667x + -0.1111111111x2 = 0 + -0.6666666667x + 0.6666666667x + 0.1111111111x2 + -0.1111111111x2
-1 + i2 + 0.6666666667x + -0.1111111111x2 = -0.6666666667x + 0.6666666667x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: -0.6666666667x + 0.6666666667x = 0.0000000000
-1 + i2 + 0.6666666667x + -0.1111111111x2 = 0.0000000000 + 0.1111111111x2 + -0.1111111111x2
-1 + i2 + 0.6666666667x + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000
-1 + i2 + 0.6666666667x + -0.1111111111x2 = 0.0000000000

The solution to this equation could not be determined.

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