(x-5)(x+7i)(x-7i)=0

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Solution for (x-5)(x+7i)(x-7i)=0 equation: 


Simplifying
(x + -5)(x + 7i)(x + -7i) = 0

Reorder the terms:
(-5 + x)(x + 7i)(x + -7i) = 0

Reorder the terms:
(-5 + x)(7i + x)(x + -7i) = 0

Reorder the terms:
(-5 + x)(7i + x)(-7i + x) = 0

Multiply (-5 + x) * (7i + x)
(-5(7i + x) + x(7i + x))(-7i + x) = 0
((7i * -5 + x * -5) + x(7i + x))(-7i + x) = 0
((-35i + -5x) + x(7i + x))(-7i + x) = 0
(-35i + -5x + (7i * x + x * x))(-7i + x) = 0
(-35i + -5x + (7ix + x2))(-7i + x) = 0

Reorder the terms:
(-35i + 7ix + -5x + x2)(-7i + x) = 0
(-35i + 7ix + -5x + x2)(-7i + x) = 0

Multiply (-35i + 7ix + -5x + x2) * (-7i + x)
(-35i * (-7i + x) + 7ix * (-7i + x) + -5x * (-7i + x) + x2(-7i + x)) = 0
((-7i * -35i + x * -35i) + 7ix * (-7i + x) + -5x * (-7i + x) + x2(-7i + x)) = 0

Reorder the terms:
((-35ix + 245i2) + 7ix * (-7i + x) + -5x * (-7i + x) + x2(-7i + x)) = 0
((-35ix + 245i2) + 7ix * (-7i + x) + -5x * (-7i + x) + x2(-7i + x)) = 0
(-35ix + 245i2 + (-7i * 7ix + x * 7ix) + -5x * (-7i + x) + x2(-7i + x)) = 0

Reorder the terms:
(-35ix + 245i2 + (7ix2 + -49i2x) + -5x * (-7i + x) + x2(-7i + x)) = 0
(-35ix + 245i2 + (7ix2 + -49i2x) + -5x * (-7i + x) + x2(-7i + x)) = 0
(-35ix + 245i2 + 7ix2 + -49i2x + (-7i * -5x + x * -5x) + x2(-7i + x)) = 0
(-35ix + 245i2 + 7ix2 + -49i2x + (35ix + -5x2) + x2(-7i + x)) = 0
(-35ix + 245i2 + 7ix2 + -49i2x + 35ix + -5x2 + (-7i * x2 + x * x2)) = 0
(-35ix + 245i2 + 7ix2 + -49i2x + 35ix + -5x2 + (-7ix2 + x3)) = 0

Reorder the terms:
(-35ix + 35ix + 7ix2 + -7ix2 + 245i2 + -49i2x + -5x2 + x3) = 0

Combine like terms: -35ix + 35ix = 0
(0 + 7ix2 + -7ix2 + 245i2 + -49i2x + -5x2 + x3) = 0
(7ix2 + -7ix2 + 245i2 + -49i2x + -5x2 + x3) = 0

Combine like terms: 7ix2 + -7ix2 = 0
(0 + 245i2 + -49i2x + -5x2 + x3) = 0
(245i2 + -49i2x + -5x2 + x3) = 0

Solving
245i2 + -49i2x + -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.
245i2 + -49i2x + -5x2 + 5x2 + x3 = 0 + 5x2

Combine like terms: -5x2 + 5x2 = 0
245i2 + -49i2x + 0 + x3 = 0 + 5x2
245i2 + -49i2x + x3 = 0 + 5x2
Remove the zero:
245i2 + -49i2x + x3 = 5x2

Add '-1x3' to each side of the equation.
245i2 + -49i2x + x3 + -1x3 = 5x2 + -1x3

Combine like terms: x3 + -1x3 = 0
245i2 + -49i2x + 0 = 5x2 + -1x3
245i2 + -49i2x = 5x2 + -1x3

Reorder the terms:
245i2 + -49i2x + -5x2 + x3 = 5x2 + -5x2 + -1x3 + x3

Combine like terms: 5x2 + -5x2 = 0
245i2 + -49i2x + -5x2 + x3 = 0 + -1x3 + x3
245i2 + -49i2x + -5x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
245i2 + -49i2x + -5x2 + x3 = 0

The solution to this equation could not be determined.

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