(X-3)(x-2i)(x+2i)=0

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Solution for (X-3)(x-2i)(x+2i)=0 equation: 


Simplifying
(X + -3)(x + -2i)(x + 2i) = 0

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

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

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

Multiply (-3 + X) * (-2i + x)
(-3(-2i + x) + X(-2i + x))(2i + x) = 0
((-2i * -3 + x * -3) + X(-2i + x))(2i + x) = 0
((6i + -3x) + X(-2i + x))(2i + x) = 0
(6i + -3x + (-2i * X + x * X))(2i + x) = 0
(6i + -3x + (-2iX + xX))(2i + x) = 0

Reorder the terms:
(6i + -2iX + -3x + xX)(2i + x) = 0
(6i + -2iX + -3x + xX)(2i + x) = 0

Multiply (6i + -2iX + -3x + xX) * (2i + x)
(6i * (2i + x) + -2iX * (2i + x) + -3x * (2i + x) + xX(2i + x)) = 0
((2i * 6i + x * 6i) + -2iX * (2i + x) + -3x * (2i + x) + xX(2i + x)) = 0

Reorder the terms:
((6ix + 12i2) + -2iX * (2i + x) + -3x * (2i + x) + xX(2i + x)) = 0
((6ix + 12i2) + -2iX * (2i + x) + -3x * (2i + x) + xX(2i + x)) = 0
(6ix + 12i2 + (2i * -2iX + x * -2iX) + -3x * (2i + x) + xX(2i + x)) = 0

Reorder the terms:
(6ix + 12i2 + (-2ixX + -4i2X) + -3x * (2i + x) + xX(2i + x)) = 0
(6ix + 12i2 + (-2ixX + -4i2X) + -3x * (2i + x) + xX(2i + x)) = 0
(6ix + 12i2 + -2ixX + -4i2X + (2i * -3x + x * -3x) + xX(2i + x)) = 0
(6ix + 12i2 + -2ixX + -4i2X + (-6ix + -3x2) + xX(2i + x)) = 0
(6ix + 12i2 + -2ixX + -4i2X + -6ix + -3x2 + (2i * xX + x * xX)) = 0
(6ix + 12i2 + -2ixX + -4i2X + -6ix + -3x2 + (2ixX + x2X)) = 0

Reorder the terms:
(6ix + -6ix + -2ixX + 2ixX + 12i2 + -4i2X + -3x2 + x2X) = 0

Combine like terms: 6ix + -6ix = 0
(0 + -2ixX + 2ixX + 12i2 + -4i2X + -3x2 + x2X) = 0
(-2ixX + 2ixX + 12i2 + -4i2X + -3x2 + x2X) = 0

Combine like terms: -2ixX + 2ixX = 0
(0 + 12i2 + -4i2X + -3x2 + x2X) = 0
(12i2 + -4i2X + -3x2 + x2X) = 0

Solving
12i2 + -4i2X + -3x2 + x2X = 0

Solving for variable 'i'.

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

Add '3x2' to each side of the equation.
12i2 + -4i2X + -3x2 + 3x2 + x2X = 0 + 3x2

Combine like terms: -3x2 + 3x2 = 0
12i2 + -4i2X + 0 + x2X = 0 + 3x2
12i2 + -4i2X + x2X = 0 + 3x2
Remove the zero:
12i2 + -4i2X + x2X = 3x2

Add '-1x2X' to each side of the equation.
12i2 + -4i2X + x2X + -1x2X = 3x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
12i2 + -4i2X + 0 = 3x2 + -1x2X
12i2 + -4i2X = 3x2 + -1x2X

Reorder the terms:
12i2 + -4i2X + -3x2 + x2X = 3x2 + -3x2 + -1x2X + x2X

Combine like terms: 3x2 + -3x2 = 0
12i2 + -4i2X + -3x2 + x2X = 0 + -1x2X + x2X
12i2 + -4i2X + -3x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
12i2 + -4i2X + -3x2 + x2X = 0

The solution to this equation could not be determined.

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