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

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


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

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

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

Multiply (4 + X + 3i) * (-4 + -3i + x)
(4(-4 + -3i + x) + X(-4 + -3i + x) + 3i * (-4 + -3i + x)) = 0
((-4 * 4 + -3i * 4 + x * 4) + X(-4 + -3i + x) + 3i * (-4 + -3i + x)) = 0
((-16 + -12i + 4x) + X(-4 + -3i + x) + 3i * (-4 + -3i + x)) = 0
(-16 + -12i + 4x + (-4 * X + -3i * X + x * X) + 3i * (-4 + -3i + x)) = 0
(-16 + -12i + 4x + (-4X + -3iX + xX) + 3i * (-4 + -3i + x)) = 0
(-16 + -12i + 4x + -4X + -3iX + xX + (-4 * 3i + -3i * 3i + x * 3i)) = 0

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

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

Combine like terms: -12i + -12i = -24i
(-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX) = 0

Solving
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 0

Solving for variable 'X'.

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

Add '16' to each side of the equation.
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + 16 + xX = 0 + 16

Reorder the terms:
-16 + 16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 0 + 16
-4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 0 + 16

Combine like terms: 0 + 16 = 16
-4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 16

Add '24i' to each side of the equation.
-4X + -24i + -3iX + 3ix + -9i2 + 4x + 24i + xX = 16 + 24i

Reorder the terms:
-4X + -24i + 24i + -3iX + 3ix + -9i2 + 4x + xX = 16 + 24i

Combine like terms: -24i + 24i = 0
-4X + 0 + -3iX + 3ix + -9i2 + 4x + xX = 16 + 24i
-4X + -3iX + 3ix + -9i2 + 4x + xX = 16 + 24i

Add '-3ix' to each side of the equation.
-4X + -3iX + 3ix + -9i2 + 4x + -3ix + xX = 16 + 24i + -3ix

Reorder the terms:
-4X + -3iX + 3ix + -3ix + -9i2 + 4x + xX = 16 + 24i + -3ix

Combine like terms: 3ix + -3ix = 0
-4X + -3iX + 0 + -9i2 + 4x + xX = 16 + 24i + -3ix
-4X + -3iX + -9i2 + 4x + xX = 16 + 24i + -3ix

Add '9i2' to each side of the equation.
-4X + -3iX + -9i2 + 4x + 9i2 + xX = 16 + 24i + -3ix + 9i2

Reorder the terms:
-4X + -3iX + -9i2 + 9i2 + 4x + xX = 16 + 24i + -3ix + 9i2

Combine like terms: -9i2 + 9i2 = 0
-4X + -3iX + 0 + 4x + xX = 16 + 24i + -3ix + 9i2
-4X + -3iX + 4x + xX = 16 + 24i + -3ix + 9i2

Add '-4x' to each side of the equation.
-4X + -3iX + 4x + -4x + xX = 16 + 24i + -3ix + 9i2 + -4x

Combine like terms: 4x + -4x = 0
-4X + -3iX + 0 + xX = 16 + 24i + -3ix + 9i2 + -4x
-4X + -3iX + xX = 16 + 24i + -3ix + 9i2 + -4x

Reorder the terms:
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 16 + 24i + -3ix + 9i2 + -4x + -16 + -24i + 3ix + -9i2 + 4x

Reorder the terms:
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 16 + -16 + 24i + -24i + -3ix + 3ix + 9i2 + -9i2 + -4x + 4x

Combine like terms: 16 + -16 = 0
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 0 + 24i + -24i + -3ix + 3ix + 9i2 + -9i2 + -4x + 4x
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 24i + -24i + -3ix + 3ix + 9i2 + -9i2 + -4x + 4x

Combine like terms: 24i + -24i = 0
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 0 + -3ix + 3ix + 9i2 + -9i2 + -4x + 4x
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = -3ix + 3ix + 9i2 + -9i2 + -4x + 4x

Combine like terms: -3ix + 3ix = 0
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 0 + 9i2 + -9i2 + -4x + 4x
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 9i2 + -9i2 + -4x + 4x

Combine like terms: 9i2 + -9i2 = 0
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 0 + -4x + 4x
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = -4x + 4x

Combine like terms: -4x + 4x = 0
-16 + -4X + -24i + -3iX + 3ix + -9i2 + 4x + xX = 0

The solution to this equation could not be determined.

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