(x-5+3i)(x-5-3i)=

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Solution for (x-5+3i)(x-5-3i)= equation:


Simplifying
(x + -5 + 3i)(x + -5 + -3i) = 0

Reorder the terms:
(-5 + 3i + x)(x + -5 + -3i) = 0

Reorder the terms:
(-5 + 3i + x)(-5 + -3i + x) = 0

Multiply (-5 + 3i + x) * (-5 + -3i + x)
(-5(-5 + -3i + x) + 3i * (-5 + -3i + x) + x(-5 + -3i + x)) = 0
((-5 * -5 + -3i * -5 + x * -5) + 3i * (-5 + -3i + x) + x(-5 + -3i + x)) = 0
((25 + 15i + -5x) + 3i * (-5 + -3i + x) + x(-5 + -3i + x)) = 0
(25 + 15i + -5x + (-5 * 3i + -3i * 3i + x * 3i) + x(-5 + -3i + x)) = 0

Reorder the terms:
(25 + 15i + -5x + (-15i + 3ix + -9i2) + x(-5 + -3i + x)) = 0
(25 + 15i + -5x + (-15i + 3ix + -9i2) + x(-5 + -3i + x)) = 0
(25 + 15i + -5x + -15i + 3ix + -9i2 + (-5 * x + -3i * x + x * x)) = 0

Reorder the terms:
(25 + 15i + -5x + -15i + 3ix + -9i2 + (-3ix + -5x + x2)) = 0
(25 + 15i + -5x + -15i + 3ix + -9i2 + (-3ix + -5x + x2)) = 0

Reorder the terms:
(25 + 15i + -15i + 3ix + -3ix + -9i2 + -5x + -5x + x2) = 0

Combine like terms: 15i + -15i = 0
(25 + 0 + 3ix + -3ix + -9i2 + -5x + -5x + x2) = 0
(25 + 3ix + -3ix + -9i2 + -5x + -5x + x2) = 0

Combine like terms: 3ix + -3ix = 0
(25 + 0 + -9i2 + -5x + -5x + x2) = 0
(25 + -9i2 + -5x + -5x + x2) = 0

Combine like terms: -5x + -5x = -10x
(25 + -9i2 + -10x + x2) = 0

Solving
25 + -9i2 + -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 + -9i2 + -10x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -9i2 + -10x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -9i2 + -10x + x2 = 0 + -25
-9i2 + -10x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-9i2 + -10x + x2 = -25

Add '10x' to each side of the equation.
-9i2 + -10x + 10x + x2 = -25 + 10x

Combine like terms: -10x + 10x = 0
-9i2 + 0 + x2 = -25 + 10x
-9i2 + x2 = -25 + 10x

Add '-1x2' to each side of the equation.
-9i2 + x2 + -1x2 = -25 + 10x + -1x2

Combine like terms: x2 + -1x2 = 0
-9i2 + 0 = -25 + 10x + -1x2
-9i2 = -25 + 10x + -1x2

Divide each side by '-9'.
i2 = 2.777777778 + -1.111111111x + 0.1111111111x2

Simplifying
i2 = 2.777777778 + -1.111111111x + 0.1111111111x2

Reorder the terms:
-2.777777778 + i2 + 1.111111111x + -0.1111111111x2 = 2.777777778 + -1.111111111x + 0.1111111111x2 + -2.777777778 + 1.111111111x + -0.1111111111x2

Reorder the terms:
-2.777777778 + i2 + 1.111111111x + -0.1111111111x2 = 2.777777778 + -2.777777778 + -1.111111111x + 1.111111111x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: 2.777777778 + -2.777777778 = 0.000000000
-2.777777778 + i2 + 1.111111111x + -0.1111111111x2 = 0.000000000 + -1.111111111x + 1.111111111x + 0.1111111111x2 + -0.1111111111x2
-2.777777778 + i2 + 1.111111111x + -0.1111111111x2 = -1.111111111x + 1.111111111x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: -1.111111111x + 1.111111111x = 0.000000000
-2.777777778 + i2 + 1.111111111x + -0.1111111111x2 = 0.000000000 + 0.1111111111x2 + -0.1111111111x2
-2.777777778 + i2 + 1.111111111x + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000
-2.777777778 + i2 + 1.111111111x + -0.1111111111x2 = 0.0000000000

The solution to this equation could not be determined.

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