(x-5-8i)(x-5+8i)=0

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Solution for (x-5-8i)(x-5+8i)=0 equation: 


Simplifying
(x + -5 + -8i)(x + -5 + 8i) = 0

Reorder the terms:
(-5 + -8i + x)(x + -5 + 8i) = 0

Reorder the terms:
(-5 + -8i + x)(-5 + 8i + x) = 0

Multiply (-5 + -8i + x) * (-5 + 8i + x)
(-5(-5 + 8i + x) + -8i * (-5 + 8i + x) + x(-5 + 8i + x)) = 0
((-5 * -5 + 8i * -5 + x * -5) + -8i * (-5 + 8i + x) + x(-5 + 8i + x)) = 0
((25 + -40i + -5x) + -8i * (-5 + 8i + x) + x(-5 + 8i + x)) = 0
(25 + -40i + -5x + (-5 * -8i + 8i * -8i + x * -8i) + x(-5 + 8i + x)) = 0

Reorder the terms:
(25 + -40i + -5x + (40i + -8ix + -64i2) + x(-5 + 8i + x)) = 0
(25 + -40i + -5x + (40i + -8ix + -64i2) + x(-5 + 8i + x)) = 0
(25 + -40i + -5x + 40i + -8ix + -64i2 + (-5 * x + 8i * x + x * x)) = 0

Reorder the terms:
(25 + -40i + -5x + 40i + -8ix + -64i2 + (8ix + -5x + x2)) = 0
(25 + -40i + -5x + 40i + -8ix + -64i2 + (8ix + -5x + x2)) = 0

Reorder the terms:
(25 + -40i + 40i + -8ix + 8ix + -64i2 + -5x + -5x + x2) = 0

Combine like terms: -40i + 40i = 0
(25 + 0 + -8ix + 8ix + -64i2 + -5x + -5x + x2) = 0
(25 + -8ix + 8ix + -64i2 + -5x + -5x + x2) = 0

Combine like terms: -8ix + 8ix = 0
(25 + 0 + -64i2 + -5x + -5x + x2) = 0
(25 + -64i2 + -5x + -5x + x2) = 0

Combine like terms: -5x + -5x = -10x
(25 + -64i2 + -10x + x2) = 0

Solving
25 + -64i2 + -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 + -64i2 + -10x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -64i2 + -10x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -64i2 + -10x + x2 = 0 + -25
-64i2 + -10x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-64i2 + -10x + x2 = -25

Add '10x' to each side of the equation.
-64i2 + -10x + 10x + x2 = -25 + 10x

Combine like terms: -10x + 10x = 0
-64i2 + 0 + x2 = -25 + 10x
-64i2 + x2 = -25 + 10x

Add '-1x2' to each side of the equation.
-64i2 + x2 + -1x2 = -25 + 10x + -1x2

Combine like terms: x2 + -1x2 = 0
-64i2 + 0 = -25 + 10x + -1x2
-64i2 = -25 + 10x + -1x2

Divide each side by '-64'.
i2 = 0.390625 + -0.15625x + 0.015625x2

Simplifying
i2 = 0.390625 + -0.15625x + 0.015625x2

Reorder the terms:
-0.390625 + i2 + 0.15625x + -0.015625x2 = 0.390625 + -0.15625x + 0.015625x2 + -0.390625 + 0.15625x + -0.015625x2

Reorder the terms:
-0.390625 + i2 + 0.15625x + -0.015625x2 = 0.390625 + -0.390625 + -0.15625x + 0.15625x + 0.015625x2 + -0.015625x2

Combine like terms: 0.390625 + -0.390625 = 0.000000
-0.390625 + i2 + 0.15625x + -0.015625x2 = 0.000000 + -0.15625x + 0.15625x + 0.015625x2 + -0.015625x2
-0.390625 + i2 + 0.15625x + -0.015625x2 = -0.15625x + 0.15625x + 0.015625x2 + -0.015625x2

Combine like terms: -0.15625x + 0.15625x = 0.00000
-0.390625 + i2 + 0.15625x + -0.015625x2 = 0.00000 + 0.015625x2 + -0.015625x2
-0.390625 + i2 + 0.15625x + -0.015625x2 = 0.015625x2 + -0.015625x2

Combine like terms: 0.015625x2 + -0.015625x2 = 0.000000
-0.390625 + i2 + 0.15625x + -0.015625x2 = 0.000000

The solution to this equation could not be determined.

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