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

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


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

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

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

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

Multiply (-5 + x) * (9i + x)
(-5(9i + x) + x(9i + x))(-9i + x) = 0
((9i * -5 + x * -5) + x(9i + x))(-9i + x) = 0
((-45i + -5x) + x(9i + x))(-9i + x) = 0
(-45i + -5x + (9i * x + x * x))(-9i + x) = 0
(-45i + -5x + (9ix + x2))(-9i + x) = 0

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

Multiply (-45i + 9ix + -5x + x2) * (-9i + x)
(-45i * (-9i + x) + 9ix * (-9i + x) + -5x * (-9i + x) + x2(-9i + x)) = 0
((-9i * -45i + x * -45i) + 9ix * (-9i + x) + -5x * (-9i + x) + x2(-9i + x)) = 0

Reorder the terms:
((-45ix + 405i2) + 9ix * (-9i + x) + -5x * (-9i + x) + x2(-9i + x)) = 0
((-45ix + 405i2) + 9ix * (-9i + x) + -5x * (-9i + x) + x2(-9i + x)) = 0
(-45ix + 405i2 + (-9i * 9ix + x * 9ix) + -5x * (-9i + x) + x2(-9i + x)) = 0

Reorder the terms:
(-45ix + 405i2 + (9ix2 + -81i2x) + -5x * (-9i + x) + x2(-9i + x)) = 0
(-45ix + 405i2 + (9ix2 + -81i2x) + -5x * (-9i + x) + x2(-9i + x)) = 0
(-45ix + 405i2 + 9ix2 + -81i2x + (-9i * -5x + x * -5x) + x2(-9i + x)) = 0
(-45ix + 405i2 + 9ix2 + -81i2x + (45ix + -5x2) + x2(-9i + x)) = 0
(-45ix + 405i2 + 9ix2 + -81i2x + 45ix + -5x2 + (-9i * x2 + x * x2)) = 0
(-45ix + 405i2 + 9ix2 + -81i2x + 45ix + -5x2 + (-9ix2 + x3)) = 0

Reorder the terms:
(-45ix + 45ix + 9ix2 + -9ix2 + 405i2 + -81i2x + -5x2 + x3) = 0

Combine like terms: -45ix + 45ix = 0
(0 + 9ix2 + -9ix2 + 405i2 + -81i2x + -5x2 + x3) = 0
(9ix2 + -9ix2 + 405i2 + -81i2x + -5x2 + x3) = 0

Combine like terms: 9ix2 + -9ix2 = 0
(0 + 405i2 + -81i2x + -5x2 + x3) = 0
(405i2 + -81i2x + -5x2 + x3) = 0

Solving
405i2 + -81i2x + -5x2 + x3 = 0

Solving for variable 'i'.

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

Add '5x2' to each side of the equation.
405i2 + -81i2x + -5x2 + 5x2 + x3 = 0 + 5x2

Combine like terms: -5x2 + 5x2 = 0
405i2 + -81i2x + 0 + x3 = 0 + 5x2
405i2 + -81i2x + x3 = 0 + 5x2
Remove the zero:
405i2 + -81i2x + x3 = 5x2

Add '-1x3' to each side of the equation.
405i2 + -81i2x + x3 + -1x3 = 5x2 + -1x3

Combine like terms: x3 + -1x3 = 0
405i2 + -81i2x + 0 = 5x2 + -1x3
405i2 + -81i2x = 5x2 + -1x3

Reorder the terms:
405i2 + -81i2x + -5x2 + x3 = 5x2 + -5x2 + -1x3 + x3

Combine like terms: 5x2 + -5x2 = 0
405i2 + -81i2x + -5x2 + x3 = 0 + -1x3 + x3
405i2 + -81i2x + -5x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
405i2 + -81i2x + -5x2 + x3 = 0

The solution to this equation could not be determined.

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