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

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


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

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

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

Multiply (-5 + -5i + x) * (-5 + 5i + x)
(-5(-5 + 5i + x) + -5i * (-5 + 5i + x) + x(-5 + 5i + x)) = 0
((-5 * -5 + 5i * -5 + x * -5) + -5i * (-5 + 5i + x) + x(-5 + 5i + x)) = 0
((25 + -25i + -5x) + -5i * (-5 + 5i + x) + x(-5 + 5i + x)) = 0
(25 + -25i + -5x + (-5 * -5i + 5i * -5i + x * -5i) + x(-5 + 5i + x)) = 0

Reorder the terms:
(25 + -25i + -5x + (25i + -5ix + -25i2) + x(-5 + 5i + x)) = 0
(25 + -25i + -5x + (25i + -5ix + -25i2) + x(-5 + 5i + x)) = 0
(25 + -25i + -5x + 25i + -5ix + -25i2 + (-5 * x + 5i * x + x * x)) = 0

Reorder the terms:
(25 + -25i + -5x + 25i + -5ix + -25i2 + (5ix + -5x + x2)) = 0
(25 + -25i + -5x + 25i + -5ix + -25i2 + (5ix + -5x + x2)) = 0

Reorder the terms:
(25 + -25i + 25i + -5ix + 5ix + -25i2 + -5x + -5x + x2) = 0

Combine like terms: -25i + 25i = 0
(25 + 0 + -5ix + 5ix + -25i2 + -5x + -5x + x2) = 0
(25 + -5ix + 5ix + -25i2 + -5x + -5x + x2) = 0

Combine like terms: -5ix + 5ix = 0
(25 + 0 + -25i2 + -5x + -5x + x2) = 0
(25 + -25i2 + -5x + -5x + x2) = 0

Combine like terms: -5x + -5x = -10x
(25 + -25i2 + -10x + x2) = 0

Solving
25 + -25i2 + -10x + x2 = 0

Solving for variable 'i'.

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

Add '-25' to each side of the equation.
25 + -25i2 + -10x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -25i2 + -10x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -25i2 + -10x + x2 = 0 + -25
-25i2 + -10x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-25i2 + -10x + x2 = -25

Add '10x' to each side of the equation.
-25i2 + -10x + 10x + x2 = -25 + 10x

Combine like terms: -10x + 10x = 0
-25i2 + 0 + x2 = -25 + 10x
-25i2 + x2 = -25 + 10x

Add '-1x2' to each side of the equation.
-25i2 + x2 + -1x2 = -25 + 10x + -1x2

Combine like terms: x2 + -1x2 = 0
-25i2 + 0 = -25 + 10x + -1x2
-25i2 = -25 + 10x + -1x2

Divide each side by '-25'.
i2 = 1 + -0.4x + 0.04x2

Simplifying
i2 = 1 + -0.4x + 0.04x2

Reorder the terms:
-1 + i2 + 0.4x + -0.04x2 = 1 + -0.4x + 0.04x2 + -1 + 0.4x + -0.04x2

Reorder the terms:
-1 + i2 + 0.4x + -0.04x2 = 1 + -1 + -0.4x + 0.4x + 0.04x2 + -0.04x2

Combine like terms: 1 + -1 = 0
-1 + i2 + 0.4x + -0.04x2 = 0 + -0.4x + 0.4x + 0.04x2 + -0.04x2
-1 + i2 + 0.4x + -0.04x2 = -0.4x + 0.4x + 0.04x2 + -0.04x2

Combine like terms: -0.4x + 0.4x = 0.0
-1 + i2 + 0.4x + -0.04x2 = 0.0 + 0.04x2 + -0.04x2
-1 + i2 + 0.4x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-1 + i2 + 0.4x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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