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

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


Simplifying
(x + -1(-5 + -5i))(x + -1(-5 + 5i)) = 0
(x + (-5 * -1 + -5i * -1))(x + -1(-5 + 5i)) = 0
(x + (5 + 5i))(x + -1(-5 + 5i)) = 0

Reorder the terms:
(5 + 5i + x)(x + -1(-5 + 5i)) = 0
(5 + 5i + x)(x + (-5 * -1 + 5i * -1)) = 0
(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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