(X-5+2i)(x+5-2i)=0

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Solution for (X-5+2i)(x+5-2i)=0 equation:


Simplifying
(X + -5 + 2i)(x + 5 + -2i) = 0

Reorder the terms:
(-5 + X + 2i)(x + 5 + -2i) = 0

Reorder the terms:
(-5 + X + 2i)(5 + -2i + x) = 0

Multiply (-5 + X + 2i) * (5 + -2i + x)
(-5(5 + -2i + x) + X(5 + -2i + x) + 2i * (5 + -2i + x)) = 0
((5 * -5 + -2i * -5 + x * -5) + X(5 + -2i + x) + 2i * (5 + -2i + x)) = 0
((-25 + 10i + -5x) + X(5 + -2i + x) + 2i * (5 + -2i + x)) = 0
(-25 + 10i + -5x + (5 * X + -2i * X + x * X) + 2i * (5 + -2i + x)) = 0
(-25 + 10i + -5x + (5X + -2iX + xX) + 2i * (5 + -2i + x)) = 0
(-25 + 10i + -5x + 5X + -2iX + xX + (5 * 2i + -2i * 2i + x * 2i)) = 0

Reorder the terms:
(-25 + 10i + -5x + 5X + -2iX + xX + (10i + 2ix + -4i2)) = 0
(-25 + 10i + -5x + 5X + -2iX + xX + (10i + 2ix + -4i2)) = 0

Reorder the terms:
(-25 + 5X + 10i + 10i + -2iX + 2ix + -4i2 + -5x + xX) = 0

Combine like terms: 10i + 10i = 20i
(-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX) = 0

Solving
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 0

Solving for variable 'X'.

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

Add '25' to each side of the equation.
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + 25 + xX = 0 + 25

Reorder the terms:
-25 + 25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 0 + 25
5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 0 + 25

Combine like terms: 0 + 25 = 25
5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 25

Add '-20i' to each side of the equation.
5X + 20i + -2iX + 2ix + -4i2 + -5x + -20i + xX = 25 + -20i

Reorder the terms:
5X + 20i + -20i + -2iX + 2ix + -4i2 + -5x + xX = 25 + -20i

Combine like terms: 20i + -20i = 0
5X + 0 + -2iX + 2ix + -4i2 + -5x + xX = 25 + -20i
5X + -2iX + 2ix + -4i2 + -5x + xX = 25 + -20i

Add '-2ix' to each side of the equation.
5X + -2iX + 2ix + -4i2 + -5x + -2ix + xX = 25 + -20i + -2ix

Reorder the terms:
5X + -2iX + 2ix + -2ix + -4i2 + -5x + xX = 25 + -20i + -2ix

Combine like terms: 2ix + -2ix = 0
5X + -2iX + 0 + -4i2 + -5x + xX = 25 + -20i + -2ix
5X + -2iX + -4i2 + -5x + xX = 25 + -20i + -2ix

Add '4i2' to each side of the equation.
5X + -2iX + -4i2 + -5x + 4i2 + xX = 25 + -20i + -2ix + 4i2

Reorder the terms:
5X + -2iX + -4i2 + 4i2 + -5x + xX = 25 + -20i + -2ix + 4i2

Combine like terms: -4i2 + 4i2 = 0
5X + -2iX + 0 + -5x + xX = 25 + -20i + -2ix + 4i2
5X + -2iX + -5x + xX = 25 + -20i + -2ix + 4i2

Add '5x' to each side of the equation.
5X + -2iX + -5x + 5x + xX = 25 + -20i + -2ix + 4i2 + 5x

Combine like terms: -5x + 5x = 0
5X + -2iX + 0 + xX = 25 + -20i + -2ix + 4i2 + 5x
5X + -2iX + xX = 25 + -20i + -2ix + 4i2 + 5x

Reorder the terms:
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 25 + -20i + -2ix + 4i2 + 5x + -25 + 20i + 2ix + -4i2 + -5x

Reorder the terms:
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 25 + -25 + -20i + 20i + -2ix + 2ix + 4i2 + -4i2 + 5x + -5x

Combine like terms: 25 + -25 = 0
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 0 + -20i + 20i + -2ix + 2ix + 4i2 + -4i2 + 5x + -5x
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = -20i + 20i + -2ix + 2ix + 4i2 + -4i2 + 5x + -5x

Combine like terms: -20i + 20i = 0
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 0 + -2ix + 2ix + 4i2 + -4i2 + 5x + -5x
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = -2ix + 2ix + 4i2 + -4i2 + 5x + -5x

Combine like terms: -2ix + 2ix = 0
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 0 + 4i2 + -4i2 + 5x + -5x
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 4i2 + -4i2 + 5x + -5x

Combine like terms: 4i2 + -4i2 = 0
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 0 + 5x + -5x
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 5x + -5x

Combine like terms: 5x + -5x = 0
-25 + 5X + 20i + -2iX + 2ix + -4i2 + -5x + xX = 0

The solution to this equation could not be determined.

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