(x-9-5i)(x-9+5i)=0

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Solution for (x-9-5i)(x-9+5i)=0 equation: 


Simplifying
(x + -9 + -5i)(x + -9 + 5i) = 0

Reorder the terms:
(-9 + -5i + x)(x + -9 + 5i) = 0

Reorder the terms:
(-9 + -5i + x)(-9 + 5i + x) = 0

Multiply (-9 + -5i + x) * (-9 + 5i + x)
(-9(-9 + 5i + x) + -5i * (-9 + 5i + x) + x(-9 + 5i + x)) = 0
((-9 * -9 + 5i * -9 + x * -9) + -5i * (-9 + 5i + x) + x(-9 + 5i + x)) = 0
((81 + -45i + -9x) + -5i * (-9 + 5i + x) + x(-9 + 5i + x)) = 0
(81 + -45i + -9x + (-9 * -5i + 5i * -5i + x * -5i) + x(-9 + 5i + x)) = 0

Reorder the terms:
(81 + -45i + -9x + (45i + -5ix + -25i2) + x(-9 + 5i + x)) = 0
(81 + -45i + -9x + (45i + -5ix + -25i2) + x(-9 + 5i + x)) = 0
(81 + -45i + -9x + 45i + -5ix + -25i2 + (-9 * x + 5i * x + x * x)) = 0

Reorder the terms:
(81 + -45i + -9x + 45i + -5ix + -25i2 + (5ix + -9x + x2)) = 0
(81 + -45i + -9x + 45i + -5ix + -25i2 + (5ix + -9x + x2)) = 0

Reorder the terms:
(81 + -45i + 45i + -5ix + 5ix + -25i2 + -9x + -9x + x2) = 0

Combine like terms: -45i + 45i = 0
(81 + 0 + -5ix + 5ix + -25i2 + -9x + -9x + x2) = 0
(81 + -5ix + 5ix + -25i2 + -9x + -9x + x2) = 0

Combine like terms: -5ix + 5ix = 0
(81 + 0 + -25i2 + -9x + -9x + x2) = 0
(81 + -25i2 + -9x + -9x + x2) = 0

Combine like terms: -9x + -9x = -18x
(81 + -25i2 + -18x + x2) = 0

Solving
81 + -25i2 + -18x + x2 = 0

Solving for variable 'i'.

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

Add '-81' to each side of the equation.
81 + -25i2 + -18x + -81 + x2 = 0 + -81

Reorder the terms:
81 + -81 + -25i2 + -18x + x2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -25i2 + -18x + x2 = 0 + -81
-25i2 + -18x + x2 = 0 + -81

Combine like terms: 0 + -81 = -81
-25i2 + -18x + x2 = -81

Add '18x' to each side of the equation.
-25i2 + -18x + 18x + x2 = -81 + 18x

Combine like terms: -18x + 18x = 0
-25i2 + 0 + x2 = -81 + 18x
-25i2 + x2 = -81 + 18x

Add '-1x2' to each side of the equation.
-25i2 + x2 + -1x2 = -81 + 18x + -1x2

Combine like terms: x2 + -1x2 = 0
-25i2 + 0 = -81 + 18x + -1x2
-25i2 = -81 + 18x + -1x2

Divide each side by '-25'.
i2 = 3.24 + -0.72x + 0.04x2

Simplifying
i2 = 3.24 + -0.72x + 0.04x2

Reorder the terms:
-3.24 + i2 + 0.72x + -0.04x2 = 3.24 + -0.72x + 0.04x2 + -3.24 + 0.72x + -0.04x2

Reorder the terms:
-3.24 + i2 + 0.72x + -0.04x2 = 3.24 + -3.24 + -0.72x + 0.72x + 0.04x2 + -0.04x2

Combine like terms: 3.24 + -3.24 = 0.00
-3.24 + i2 + 0.72x + -0.04x2 = 0.00 + -0.72x + 0.72x + 0.04x2 + -0.04x2
-3.24 + i2 + 0.72x + -0.04x2 = -0.72x + 0.72x + 0.04x2 + -0.04x2

Combine like terms: -0.72x + 0.72x = 0.00
-3.24 + i2 + 0.72x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
-3.24 + i2 + 0.72x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-3.24 + i2 + 0.72x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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