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

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


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

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

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

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

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

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

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

Reorder the terms:
((-6ix + -18i2) + -3iX * (3i + x) + 2x * (3i + x) + xX(3i + x)) = 0
((-6ix + -18i2) + -3iX * (3i + x) + 2x * (3i + x) + xX(3i + x)) = 0
(-6ix + -18i2 + (3i * -3iX + x * -3iX) + 2x * (3i + x) + xX(3i + x)) = 0

Reorder the terms:
(-6ix + -18i2 + (-3ixX + -9i2X) + 2x * (3i + x) + xX(3i + x)) = 0
(-6ix + -18i2 + (-3ixX + -9i2X) + 2x * (3i + x) + xX(3i + x)) = 0
(-6ix + -18i2 + -3ixX + -9i2X + (3i * 2x + x * 2x) + xX(3i + x)) = 0
(-6ix + -18i2 + -3ixX + -9i2X + (6ix + 2x2) + xX(3i + x)) = 0
(-6ix + -18i2 + -3ixX + -9i2X + 6ix + 2x2 + (3i * xX + x * xX)) = 0
(-6ix + -18i2 + -3ixX + -9i2X + 6ix + 2x2 + (3ixX + x2X)) = 0

Reorder the terms:
(-6ix + 6ix + -3ixX + 3ixX + -18i2 + -9i2X + 2x2 + x2X) = 0

Combine like terms: -6ix + 6ix = 0
(0 + -3ixX + 3ixX + -18i2 + -9i2X + 2x2 + x2X) = 0
(-3ixX + 3ixX + -18i2 + -9i2X + 2x2 + x2X) = 0

Combine like terms: -3ixX + 3ixX = 0
(0 + -18i2 + -9i2X + 2x2 + x2X) = 0
(-18i2 + -9i2X + 2x2 + x2X) = 0

Solving
-18i2 + -9i2X + 2x2 + x2X = 0

Solving for variable 'i'.

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

Add '-2x2' to each side of the equation.
-18i2 + -9i2X + 2x2 + -2x2 + x2X = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-18i2 + -9i2X + 0 + x2X = 0 + -2x2
-18i2 + -9i2X + x2X = 0 + -2x2
Remove the zero:
-18i2 + -9i2X + x2X = -2x2

Add '-1x2X' to each side of the equation.
-18i2 + -9i2X + x2X + -1x2X = -2x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
-18i2 + -9i2X + 0 = -2x2 + -1x2X
-18i2 + -9i2X = -2x2 + -1x2X

Reorder the terms:
-18i2 + -9i2X + 2x2 + x2X = -2x2 + 2x2 + -1x2X + x2X

Combine like terms: -2x2 + 2x2 = 0
-18i2 + -9i2X + 2x2 + x2X = 0 + -1x2X + x2X
-18i2 + -9i2X + 2x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
-18i2 + -9i2X + 2x2 + x2X = 0

The solution to this equation could not be determined.

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