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

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


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

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

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

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

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

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

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

Reorder the terms:
((-3ix + 9i2) + 3iX * (-3i + x) + -1x * (-3i + x) + xX(-3i + x)) = 0
((-3ix + 9i2) + 3iX * (-3i + x) + -1x * (-3i + x) + xX(-3i + x)) = 0
(-3ix + 9i2 + (-3i * 3iX + x * 3iX) + -1x * (-3i + x) + xX(-3i + x)) = 0

Reorder the terms:
(-3ix + 9i2 + (3ixX + -9i2X) + -1x * (-3i + x) + xX(-3i + x)) = 0
(-3ix + 9i2 + (3ixX + -9i2X) + -1x * (-3i + x) + xX(-3i + x)) = 0
(-3ix + 9i2 + 3ixX + -9i2X + (-3i * -1x + x * -1x) + xX(-3i + x)) = 0
(-3ix + 9i2 + 3ixX + -9i2X + (3ix + -1x2) + xX(-3i + x)) = 0
(-3ix + 9i2 + 3ixX + -9i2X + 3ix + -1x2 + (-3i * xX + x * xX)) = 0
(-3ix + 9i2 + 3ixX + -9i2X + 3ix + -1x2 + (-3ixX + x2X)) = 0

Reorder the terms:
(-3ix + 3ix + 3ixX + -3ixX + 9i2 + -9i2X + -1x2 + x2X) = 0

Combine like terms: -3ix + 3ix = 0
(0 + 3ixX + -3ixX + 9i2 + -9i2X + -1x2 + x2X) = 0
(3ixX + -3ixX + 9i2 + -9i2X + -1x2 + x2X) = 0

Combine like terms: 3ixX + -3ixX = 0
(0 + 9i2 + -9i2X + -1x2 + x2X) = 0
(9i2 + -9i2X + -1x2 + x2X) = 0

Solving
9i2 + -9i2X + -1x2 + x2X = 0

Solving for variable 'i'.

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

Add 'x2' to each side of the equation.
9i2 + -9i2X + -1x2 + x2 + x2X = 0 + x2

Combine like terms: -1x2 + x2 = 0
9i2 + -9i2X + 0 + x2X = 0 + x2
9i2 + -9i2X + x2X = 0 + x2
Remove the zero:
9i2 + -9i2X + x2X = x2

Add '-1x2X' to each side of the equation.
9i2 + -9i2X + x2X + -1x2X = x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
9i2 + -9i2X + 0 = x2 + -1x2X
9i2 + -9i2X = x2 + -1x2X

Reorder the terms:
9i2 + -9i2X + -1x2 + x2X = x2 + -1x2 + -1x2X + x2X

Combine like terms: x2 + -1x2 = 0
9i2 + -9i2X + -1x2 + x2X = 0 + -1x2X + x2X
9i2 + -9i2X + -1x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
9i2 + -9i2X + -1x2 + x2X = 0

The solution to this equation could not be determined.

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