(x-3)(x-7i)(x+7i)=0

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Solution for (x-3)(x-7i)(x+7i)=0 equation: 


Simplifying
(x + -3)(x + -7i)(x + 7i) = 0

Reorder the terms:
(-3 + x)(x + -7i)(x + 7i) = 0

Reorder the terms:
(-3 + x)(-7i + x)(x + 7i) = 0

Reorder the terms:
(-3 + x)(-7i + x)(7i + x) = 0

Multiply (-3 + x) * (-7i + x)
(-3(-7i + x) + x(-7i + x))(7i + x) = 0
((-7i * -3 + x * -3) + x(-7i + x))(7i + x) = 0
((21i + -3x) + x(-7i + x))(7i + x) = 0
(21i + -3x + (-7i * x + x * x))(7i + x) = 0
(21i + -3x + (-7ix + x2))(7i + x) = 0

Reorder the terms:
(21i + -7ix + -3x + x2)(7i + x) = 0
(21i + -7ix + -3x + x2)(7i + x) = 0

Multiply (21i + -7ix + -3x + x2) * (7i + x)
(21i * (7i + x) + -7ix * (7i + x) + -3x * (7i + x) + x2(7i + x)) = 0
((7i * 21i + x * 21i) + -7ix * (7i + x) + -3x * (7i + x) + x2(7i + x)) = 0

Reorder the terms:
((21ix + 147i2) + -7ix * (7i + x) + -3x * (7i + x) + x2(7i + x)) = 0
((21ix + 147i2) + -7ix * (7i + x) + -3x * (7i + x) + x2(7i + x)) = 0
(21ix + 147i2 + (7i * -7ix + x * -7ix) + -3x * (7i + x) + x2(7i + x)) = 0

Reorder the terms:
(21ix + 147i2 + (-7ix2 + -49i2x) + -3x * (7i + x) + x2(7i + x)) = 0
(21ix + 147i2 + (-7ix2 + -49i2x) + -3x * (7i + x) + x2(7i + x)) = 0
(21ix + 147i2 + -7ix2 + -49i2x + (7i * -3x + x * -3x) + x2(7i + x)) = 0
(21ix + 147i2 + -7ix2 + -49i2x + (-21ix + -3x2) + x2(7i + x)) = 0
(21ix + 147i2 + -7ix2 + -49i2x + -21ix + -3x2 + (7i * x2 + x * x2)) = 0
(21ix + 147i2 + -7ix2 + -49i2x + -21ix + -3x2 + (7ix2 + x3)) = 0

Reorder the terms:
(21ix + -21ix + -7ix2 + 7ix2 + 147i2 + -49i2x + -3x2 + x3) = 0

Combine like terms: 21ix + -21ix = 0
(0 + -7ix2 + 7ix2 + 147i2 + -49i2x + -3x2 + x3) = 0
(-7ix2 + 7ix2 + 147i2 + -49i2x + -3x2 + x3) = 0

Combine like terms: -7ix2 + 7ix2 = 0
(0 + 147i2 + -49i2x + -3x2 + x3) = 0
(147i2 + -49i2x + -3x2 + x3) = 0

Solving
147i2 + -49i2x + -3x2 + x3 = 0

Solving for variable 'i'.

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

Add '3x2' to each side of the equation.
147i2 + -49i2x + -3x2 + 3x2 + x3 = 0 + 3x2

Combine like terms: -3x2 + 3x2 = 0
147i2 + -49i2x + 0 + x3 = 0 + 3x2
147i2 + -49i2x + x3 = 0 + 3x2
Remove the zero:
147i2 + -49i2x + x3 = 3x2

Add '-1x3' to each side of the equation.
147i2 + -49i2x + x3 + -1x3 = 3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
147i2 + -49i2x + 0 = 3x2 + -1x3
147i2 + -49i2x = 3x2 + -1x3

Reorder the terms:
147i2 + -49i2x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3

Combine like terms: 3x2 + -3x2 = 0
147i2 + -49i2x + -3x2 + x3 = 0 + -1x3 + x3
147i2 + -49i2x + -3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
147i2 + -49i2x + -3x2 + x3 = 0

The solution to this equation could not be determined.

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