(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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