(X+1)(x-3)(x-3i)=0

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Solution for (X+1)(x-3)(x-3i)=0 equation: 


Simplifying
(X + 1)(x + -3)(x + -3i) = 0

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

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

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

Multiply (1 + X) * (-3 + x)
(1(-3 + x) + X(-3 + x))(-3i + x) = 0
((-3 * 1 + x * 1) + X(-3 + x))(-3i + x) = 0
((-3 + 1x) + X(-3 + x))(-3i + x) = 0
(-3 + 1x + (-3 * X + x * X))(-3i + x) = 0
(-3 + 1x + (-3X + xX))(-3i + x) = 0

Reorder the terms:
(-3 + -3X + 1x + xX)(-3i + x) = 0
(-3 + -3X + 1x + xX)(-3i + x) = 0

Multiply (-3 + -3X + 1x + xX) * (-3i + x)
(-3(-3i + x) + -3X * (-3i + x) + 1x * (-3i + x) + xX(-3i + x)) = 0
((-3i * -3 + x * -3) + -3X * (-3i + x) + 1x * (-3i + x) + xX(-3i + x)) = 0
((9i + -3x) + -3X * (-3i + x) + 1x * (-3i + x) + xX(-3i + x)) = 0
(9i + -3x + (-3i * -3X + x * -3X) + 1x * (-3i + x) + xX(-3i + x)) = 0
(9i + -3x + (9iX + -3xX) + 1x * (-3i + x) + xX(-3i + x)) = 0
(9i + -3x + 9iX + -3xX + (-3i * 1x + x * 1x) + xX(-3i + x)) = 0
(9i + -3x + 9iX + -3xX + (-3ix + 1x2) + xX(-3i + x)) = 0
(9i + -3x + 9iX + -3xX + -3ix + 1x2 + (-3i * xX + x * xX)) = 0
(9i + -3x + 9iX + -3xX + -3ix + 1x2 + (-3ixX + x2X)) = 0

Reorder the terms:
(9i + 9iX + -3ix + -3ixX + -3x + -3xX + 1x2 + x2X) = 0
(9i + 9iX + -3ix + -3ixX + -3x + -3xX + 1x2 + x2X) = 0

Solving
9i + 9iX + -3ix + -3ixX + -3x + -3xX + 1x2 + x2X = 0

Solving for variable 'i'.

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

Add '3x' to each side of the equation.
9i + 9iX + -3ix + -3ixX + -3x + -3xX + 1x2 + 3x + x2X = 0 + 3x

Reorder the terms:
9i + 9iX + -3ix + -3ixX + -3x + 3x + -3xX + 1x2 + x2X = 0 + 3x

Combine like terms: -3x + 3x = 0
9i + 9iX + -3ix + -3ixX + 0 + -3xX + 1x2 + x2X = 0 + 3x
9i + 9iX + -3ix + -3ixX + -3xX + 1x2 + x2X = 0 + 3x
Remove the zero:
9i + 9iX + -3ix + -3ixX + -3xX + 1x2 + x2X = 3x

Add '3xX' to each side of the equation.
9i + 9iX + -3ix + -3ixX + -3xX + 1x2 + 3xX + x2X = 3x + 3xX

Reorder the terms:
9i + 9iX + -3ix + -3ixX + -3xX + 3xX + 1x2 + x2X = 3x + 3xX

Combine like terms: -3xX + 3xX = 0
9i + 9iX + -3ix + -3ixX + 0 + 1x2 + x2X = 3x + 3xX
9i + 9iX + -3ix + -3ixX + 1x2 + x2X = 3x + 3xX

Add '-1x2' to each side of the equation.
9i + 9iX + -3ix + -3ixX + 1x2 + -1x2 + x2X = 3x + 3xX + -1x2

Combine like terms: 1x2 + -1x2 = 0
9i + 9iX + -3ix + -3ixX + 0 + x2X = 3x + 3xX + -1x2
9i + 9iX + -3ix + -3ixX + x2X = 3x + 3xX + -1x2

Add '-1x2X' to each side of the equation.
9i + 9iX + -3ix + -3ixX + x2X + -1x2X = 3x + 3xX + -1x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
9i + 9iX + -3ix + -3ixX + 0 = 3x + 3xX + -1x2 + -1x2X
9i + 9iX + -3ix + -3ixX = 3x + 3xX + -1x2 + -1x2X

Reorder the terms:
9i + 9iX + -3ix + -3ixX + -3x + -3xX + x2 + x2X = 3x + -3x + 3xX + -3xX + -1x2 + x2 + -1x2X + x2X

Combine like terms: 3x + -3x = 0
9i + 9iX + -3ix + -3ixX + -3x + -3xX + x2 + x2X = 0 + 3xX + -3xX + -1x2 + x2 + -1x2X + x2X
9i + 9iX + -3ix + -3ixX + -3x + -3xX + x2 + x2X = 3xX + -3xX + -1x2 + x2 + -1x2X + x2X

Combine like terms: 3xX + -3xX = 0
9i + 9iX + -3ix + -3ixX + -3x + -3xX + x2 + x2X = 0 + -1x2 + x2 + -1x2X + x2X
9i + 9iX + -3ix + -3ixX + -3x + -3xX + x2 + x2X = -1x2 + x2 + -1x2X + x2X

Combine like terms: -1x2 + x2 = 0
9i + 9iX + -3ix + -3ixX + -3x + -3xX + x2 + x2X = 0 + -1x2X + x2X
9i + 9iX + -3ix + -3ixX + -3x + -3xX + x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
9i + 9iX + -3ix + -3ixX + -3x + -3xX + x2 + x2X = 0

The solution to this equation could not be determined.

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