(x+2)(X-2)(x+6i)=0

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Solution for (x+2)(X-2)(x+6i)=0 equation: 


Simplifying
(x + 2)(X + -2)(x + 6i) = 0

Reorder the terms:
(2 + x)(X + -2)(x + 6i) = 0

Reorder the terms:
(2 + x)(-2 + X)(x + 6i) = 0

Reorder the terms:
(2 + x)(-2 + X)(6i + x) = 0

Multiply (2 + x) * (-2 + X)
(2(-2 + X) + x(-2 + X))(6i + x) = 0
((-2 * 2 + X * 2) + x(-2 + X))(6i + x) = 0
((-4 + 2X) + x(-2 + X))(6i + x) = 0
(-4 + 2X + (-2 * x + X * x))(6i + x) = 0
(-4 + 2X + (-2x + xX))(6i + x) = 0
(-4 + 2X + -2x + xX)(6i + x) = 0

Multiply (-4 + 2X + -2x + xX) * (6i + x)
(-4(6i + x) + 2X * (6i + x) + -2x * (6i + x) + xX(6i + x)) = 0
((6i * -4 + x * -4) + 2X * (6i + x) + -2x * (6i + x) + xX(6i + x)) = 0
((-24i + -4x) + 2X * (6i + x) + -2x * (6i + x) + xX(6i + x)) = 0
(-24i + -4x + (6i * 2X + x * 2X) + -2x * (6i + x) + xX(6i + x)) = 0
(-24i + -4x + (12iX + 2xX) + -2x * (6i + x) + xX(6i + x)) = 0
(-24i + -4x + 12iX + 2xX + (6i * -2x + x * -2x) + xX(6i + x)) = 0
(-24i + -4x + 12iX + 2xX + (-12ix + -2x2) + xX(6i + x)) = 0
(-24i + -4x + 12iX + 2xX + -12ix + -2x2 + (6i * xX + x * xX)) = 0
(-24i + -4x + 12iX + 2xX + -12ix + -2x2 + (6ixX + x2X)) = 0

Reorder the terms:
(-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X) = 0
(-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X) = 0

Solving
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X = 0

Solving for variable 'i'.

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

Add '4x' to each side of the equation.
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + 4x + x2X = 0 + 4x

Reorder the terms:
-24i + 12iX + -12ix + 6ixX + -4x + 4x + 2xX + -2x2 + x2X = 0 + 4x

Combine like terms: -4x + 4x = 0
-24i + 12iX + -12ix + 6ixX + 0 + 2xX + -2x2 + x2X = 0 + 4x
-24i + 12iX + -12ix + 6ixX + 2xX + -2x2 + x2X = 0 + 4x
Remove the zero:
-24i + 12iX + -12ix + 6ixX + 2xX + -2x2 + x2X = 4x

Add '-2xX' to each side of the equation.
-24i + 12iX + -12ix + 6ixX + 2xX + -2x2 + -2xX + x2X = 4x + -2xX

Reorder the terms:
-24i + 12iX + -12ix + 6ixX + 2xX + -2xX + -2x2 + x2X = 4x + -2xX

Combine like terms: 2xX + -2xX = 0
-24i + 12iX + -12ix + 6ixX + 0 + -2x2 + x2X = 4x + -2xX
-24i + 12iX + -12ix + 6ixX + -2x2 + x2X = 4x + -2xX

Add '2x2' to each side of the equation.
-24i + 12iX + -12ix + 6ixX + -2x2 + 2x2 + x2X = 4x + -2xX + 2x2

Combine like terms: -2x2 + 2x2 = 0
-24i + 12iX + -12ix + 6ixX + 0 + x2X = 4x + -2xX + 2x2
-24i + 12iX + -12ix + 6ixX + x2X = 4x + -2xX + 2x2

Add '-1x2X' to each side of the equation.
-24i + 12iX + -12ix + 6ixX + x2X + -1x2X = 4x + -2xX + 2x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
-24i + 12iX + -12ix + 6ixX + 0 = 4x + -2xX + 2x2 + -1x2X
-24i + 12iX + -12ix + 6ixX = 4x + -2xX + 2x2 + -1x2X

Reorder the terms:
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X = 4x + -4x + -2xX + 2xX + 2x2 + -2x2 + -1x2X + x2X

Combine like terms: 4x + -4x = 0
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X = 0 + -2xX + 2xX + 2x2 + -2x2 + -1x2X + x2X
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X = -2xX + 2xX + 2x2 + -2x2 + -1x2X + x2X

Combine like terms: -2xX + 2xX = 0
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X = 0 + 2x2 + -2x2 + -1x2X + x2X
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X = 2x2 + -2x2 + -1x2X + x2X

Combine like terms: 2x2 + -2x2 = 0
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X = 0 + -1x2X + x2X
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
-24i + 12iX + -12ix + 6ixX + -4x + 2xX + -2x2 + x2X = 0

The solution to this equation could not be determined.

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