0=(X-3-5i)(x-3+5i)

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Solution for 0=(X-3-5i)(x-3+5i) equation: 


Simplifying
0 = (X + -3 + -5i)(x + -3 + 5i)

Reorder the terms:
0 = (-3 + X + -5i)(x + -3 + 5i)

Reorder the terms:
0 = (-3 + X + -5i)(-3 + 5i + x)

Multiply (-3 + X + -5i) * (-3 + 5i + x)
0 = (-3(-3 + 5i + x) + X(-3 + 5i + x) + -5i * (-3 + 5i + x))
0 = ((-3 * -3 + 5i * -3 + x * -3) + X(-3 + 5i + x) + -5i * (-3 + 5i + x))
0 = ((9 + -15i + -3x) + X(-3 + 5i + x) + -5i * (-3 + 5i + x))
0 = (9 + -15i + -3x + (-3 * X + 5i * X + x * X) + -5i * (-3 + 5i + x))
0 = (9 + -15i + -3x + (-3X + 5iX + xX) + -5i * (-3 + 5i + x))
0 = (9 + -15i + -3x + -3X + 5iX + xX + (-3 * -5i + 5i * -5i + x * -5i))

Reorder the terms:
0 = (9 + -15i + -3x + -3X + 5iX + xX + (15i + -5ix + -25i2))
0 = (9 + -15i + -3x + -3X + 5iX + xX + (15i + -5ix + -25i2))

Reorder the terms:
0 = (9 + -3X + -15i + 15i + 5iX + -5ix + -25i2 + -3x + xX)

Combine like terms: -15i + 15i = 0
0 = (9 + -3X + 0 + 5iX + -5ix + -25i2 + -3x + xX)
0 = (9 + -3X + 5iX + -5ix + -25i2 + -3x + xX)

Solving
0 = 9 + -3X + 5iX + -5ix + -25i2 + -3x + xX

Solving for variable 'X'.

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

Add '3X' to each side of the equation.
0 + 3X = 9 + -3X + 5iX + -5ix + -25i2 + -3x + 3X + xX
Remove the zero:
3X = 9 + -3X + 5iX + -5ix + -25i2 + -3x + 3X + xX

Reorder the terms:
3X = 9 + -3X + 3X + 5iX + -5ix + -25i2 + -3x + xX

Combine like terms: -3X + 3X = 0
3X = 9 + 0 + 5iX + -5ix + -25i2 + -3x + xX
3X = 9 + 5iX + -5ix + -25i2 + -3x + xX

Add '-5iX' to each side of the equation.
3X + -5iX = 9 + 5iX + -5ix + -25i2 + -3x + -5iX + xX

Reorder the terms:
3X + -5iX = 9 + 5iX + -5iX + -5ix + -25i2 + -3x + xX

Combine like terms: 5iX + -5iX = 0
3X + -5iX = 9 + 0 + -5ix + -25i2 + -3x + xX
3X + -5iX = 9 + -5ix + -25i2 + -3x + xX

Add '-1xX' to each side of the equation.
3X + -5iX + -1xX = 9 + -5ix + -25i2 + -3x + xX + -1xX

Combine like terms: xX + -1xX = 0
3X + -5iX + -1xX = 9 + -5ix + -25i2 + -3x + 0
3X + -5iX + -1xX = 9 + -5ix + -25i2 + -3x

Reorder the terms:
-9 + 3X + -5iX + 5ix + 25i2 + 3x + -1xX = 9 + -5ix + -25i2 + -3x + -9 + 5ix + 25i2 + 3x

Reorder the terms:
-9 + 3X + -5iX + 5ix + 25i2 + 3x + -1xX = 9 + -9 + -5ix + 5ix + -25i2 + 25i2 + -3x + 3x

Combine like terms: 9 + -9 = 0
-9 + 3X + -5iX + 5ix + 25i2 + 3x + -1xX = 0 + -5ix + 5ix + -25i2 + 25i2 + -3x + 3x
-9 + 3X + -5iX + 5ix + 25i2 + 3x + -1xX = -5ix + 5ix + -25i2 + 25i2 + -3x + 3x

Combine like terms: -5ix + 5ix = 0
-9 + 3X + -5iX + 5ix + 25i2 + 3x + -1xX = 0 + -25i2 + 25i2 + -3x + 3x
-9 + 3X + -5iX + 5ix + 25i2 + 3x + -1xX = -25i2 + 25i2 + -3x + 3x

Combine like terms: -25i2 + 25i2 = 0
-9 + 3X + -5iX + 5ix + 25i2 + 3x + -1xX = 0 + -3x + 3x
-9 + 3X + -5iX + 5ix + 25i2 + 3x + -1xX = -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 3X + -5iX + 5ix + 25i2 + 3x + -1xX = 0

The solution to this equation could not be determined.

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