(X+3-4i)(x-3-4i)=0

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Solution for (X+3-4i)(x-3-4i)=0 equation: 


Simplifying
(X + 3 + -4i)(x + -3 + -4i) = 0

Reorder the terms:
(3 + X + -4i)(x + -3 + -4i) = 0

Reorder the terms:
(3 + X + -4i)(-3 + -4i + x) = 0

Multiply (3 + X + -4i) * (-3 + -4i + x)
(3(-3 + -4i + x) + X(-3 + -4i + x) + -4i * (-3 + -4i + x)) = 0
((-3 * 3 + -4i * 3 + x * 3) + X(-3 + -4i + x) + -4i * (-3 + -4i + x)) = 0
((-9 + -12i + 3x) + X(-3 + -4i + x) + -4i * (-3 + -4i + x)) = 0
(-9 + -12i + 3x + (-3 * X + -4i * X + x * X) + -4i * (-3 + -4i + x)) = 0
(-9 + -12i + 3x + (-3X + -4iX + xX) + -4i * (-3 + -4i + x)) = 0
(-9 + -12i + 3x + -3X + -4iX + xX + (-3 * -4i + -4i * -4i + x * -4i)) = 0

Reorder the terms:
(-9 + -12i + 3x + -3X + -4iX + xX + (12i + -4ix + 16i2)) = 0
(-9 + -12i + 3x + -3X + -4iX + xX + (12i + -4ix + 16i2)) = 0

Reorder the terms:
(-9 + -3X + -12i + 12i + -4iX + -4ix + 16i2 + 3x + xX) = 0

Combine like terms: -12i + 12i = 0
(-9 + -3X + 0 + -4iX + -4ix + 16i2 + 3x + xX) = 0
(-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX) = 0

Solving
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 0

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + -3X + -4iX + -4ix + 16i2 + 3x + 9 + xX = 0 + 9

Reorder the terms:
-9 + 9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 0 + 9
-3X + -4iX + -4ix + 16i2 + 3x + xX = 0 + 9

Combine like terms: 0 + 9 = 9
-3X + -4iX + -4ix + 16i2 + 3x + xX = 9

Add '4ix' to each side of the equation.
-3X + -4iX + -4ix + 16i2 + 3x + 4ix + xX = 9 + 4ix

Reorder the terms:
-3X + -4iX + -4ix + 4ix + 16i2 + 3x + xX = 9 + 4ix

Combine like terms: -4ix + 4ix = 0
-3X + -4iX + 0 + 16i2 + 3x + xX = 9 + 4ix
-3X + -4iX + 16i2 + 3x + xX = 9 + 4ix

Add '-16i2' to each side of the equation.
-3X + -4iX + 16i2 + 3x + -16i2 + xX = 9 + 4ix + -16i2

Reorder the terms:
-3X + -4iX + 16i2 + -16i2 + 3x + xX = 9 + 4ix + -16i2

Combine like terms: 16i2 + -16i2 = 0
-3X + -4iX + 0 + 3x + xX = 9 + 4ix + -16i2
-3X + -4iX + 3x + xX = 9 + 4ix + -16i2

Add '-3x' to each side of the equation.
-3X + -4iX + 3x + -3x + xX = 9 + 4ix + -16i2 + -3x

Combine like terms: 3x + -3x = 0
-3X + -4iX + 0 + xX = 9 + 4ix + -16i2 + -3x
-3X + -4iX + xX = 9 + 4ix + -16i2 + -3x

Reorder the terms:
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 9 + 4ix + -16i2 + -3x + -9 + -4ix + 16i2 + 3x

Reorder the terms:
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 9 + -9 + 4ix + -4ix + -16i2 + 16i2 + -3x + 3x

Combine like terms: 9 + -9 = 0
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 0 + 4ix + -4ix + -16i2 + 16i2 + -3x + 3x
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 4ix + -4ix + -16i2 + 16i2 + -3x + 3x

Combine like terms: 4ix + -4ix = 0
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 0 + -16i2 + 16i2 + -3x + 3x
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = -16i2 + 16i2 + -3x + 3x

Combine like terms: -16i2 + 16i2 = 0
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 0 + -3x + 3x
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + -3X + -4iX + -4ix + 16i2 + 3x + xX = 0

The solution to this equation could not be determined.

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