(x-3)(x-3)(x-6i)=0

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Solution for (x-3)(x-3)(x-6i)=0 equation: 


Simplifying
(x + -3)(x + -3)(x + -6i) = 0

Reorder the terms:
(-3 + x)(x + -3)(x + -6i) = 0

Reorder the terms:
(-3 + x)(-3 + x)(x + -6i) = 0

Reorder the terms:
(-3 + x)(-3 + x)(-6i + x) = 0

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

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

Multiply (9 + -6x + x2) * (-6i + x)
(9(-6i + x) + -6x * (-6i + x) + x2(-6i + x)) = 0
((-6i * 9 + x * 9) + -6x * (-6i + x) + x2(-6i + x)) = 0
((-54i + 9x) + -6x * (-6i + x) + x2(-6i + x)) = 0
(-54i + 9x + (-6i * -6x + x * -6x) + x2(-6i + x)) = 0
(-54i + 9x + (36ix + -6x2) + x2(-6i + x)) = 0
(-54i + 9x + 36ix + -6x2 + (-6i * x2 + x * x2)) = 0
(-54i + 9x + 36ix + -6x2 + (-6ix2 + x3)) = 0

Reorder the terms:
(-54i + 36ix + -6ix2 + 9x + -6x2 + x3) = 0
(-54i + 36ix + -6ix2 + 9x + -6x2 + x3) = 0

Solving
-54i + 36ix + -6ix2 + 9x + -6x2 + x3 = 0

Solving for variable 'i'.

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

Add '-9x' to each side of the equation.
-54i + 36ix + -6ix2 + 9x + -6x2 + -9x + x3 = 0 + -9x

Reorder the terms:
-54i + 36ix + -6ix2 + 9x + -9x + -6x2 + x3 = 0 + -9x

Combine like terms: 9x + -9x = 0
-54i + 36ix + -6ix2 + 0 + -6x2 + x3 = 0 + -9x
-54i + 36ix + -6ix2 + -6x2 + x3 = 0 + -9x
Remove the zero:
-54i + 36ix + -6ix2 + -6x2 + x3 = -9x

Add '6x2' to each side of the equation.
-54i + 36ix + -6ix2 + -6x2 + 6x2 + x3 = -9x + 6x2

Combine like terms: -6x2 + 6x2 = 0
-54i + 36ix + -6ix2 + 0 + x3 = -9x + 6x2
-54i + 36ix + -6ix2 + x3 = -9x + 6x2

Add '-1x3' to each side of the equation.
-54i + 36ix + -6ix2 + x3 + -1x3 = -9x + 6x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-54i + 36ix + -6ix2 + 0 = -9x + 6x2 + -1x3
-54i + 36ix + -6ix2 = -9x + 6x2 + -1x3

Reorder the terms:
-54i + 36ix + -6ix2 + 9x + -6x2 + x3 = -9x + 9x + 6x2 + -6x2 + -1x3 + x3

Combine like terms: -9x + 9x = 0
-54i + 36ix + -6ix2 + 9x + -6x2 + x3 = 0 + 6x2 + -6x2 + -1x3 + x3
-54i + 36ix + -6ix2 + 9x + -6x2 + x3 = 6x2 + -6x2 + -1x3 + x3

Combine like terms: 6x2 + -6x2 = 0
-54i + 36ix + -6ix2 + 9x + -6x2 + x3 = 0 + -1x3 + x3
-54i + 36ix + -6ix2 + 9x + -6x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-54i + 36ix + -6ix2 + 9x + -6x2 + x3 = 0

The solution to this equation could not be determined.

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