(x-4)(x-7i)(x+7i)=0

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Solution for (x-4)(x-7i)(x+7i)=0 equation: 


Simplifying
(x + -4)(x + -7i)(x + 7i) = 0

Reorder the terms:
(-4 + x)(x + -7i)(x + 7i) = 0

Reorder the terms:
(-4 + x)(-7i + x)(x + 7i) = 0

Reorder the terms:
(-4 + x)(-7i + x)(7i + x) = 0

Multiply (-4 + x) * (-7i + x)
(-4(-7i + x) + x(-7i + x))(7i + x) = 0
((-7i * -4 + x * -4) + x(-7i + x))(7i + x) = 0
((28i + -4x) + x(-7i + x))(7i + x) = 0
(28i + -4x + (-7i * x + x * x))(7i + x) = 0
(28i + -4x + (-7ix + x2))(7i + x) = 0

Reorder the terms:
(28i + -7ix + -4x + x2)(7i + x) = 0
(28i + -7ix + -4x + x2)(7i + x) = 0

Multiply (28i + -7ix + -4x + x2) * (7i + x)
(28i * (7i + x) + -7ix * (7i + x) + -4x * (7i + x) + x2(7i + x)) = 0
((7i * 28i + x * 28i) + -7ix * (7i + x) + -4x * (7i + x) + x2(7i + x)) = 0

Reorder the terms:
((28ix + 196i2) + -7ix * (7i + x) + -4x * (7i + x) + x2(7i + x)) = 0
((28ix + 196i2) + -7ix * (7i + x) + -4x * (7i + x) + x2(7i + x)) = 0
(28ix + 196i2 + (7i * -7ix + x * -7ix) + -4x * (7i + x) + x2(7i + x)) = 0

Reorder the terms:
(28ix + 196i2 + (-7ix2 + -49i2x) + -4x * (7i + x) + x2(7i + x)) = 0
(28ix + 196i2 + (-7ix2 + -49i2x) + -4x * (7i + x) + x2(7i + x)) = 0
(28ix + 196i2 + -7ix2 + -49i2x + (7i * -4x + x * -4x) + x2(7i + x)) = 0
(28ix + 196i2 + -7ix2 + -49i2x + (-28ix + -4x2) + x2(7i + x)) = 0
(28ix + 196i2 + -7ix2 + -49i2x + -28ix + -4x2 + (7i * x2 + x * x2)) = 0
(28ix + 196i2 + -7ix2 + -49i2x + -28ix + -4x2 + (7ix2 + x3)) = 0

Reorder the terms:
(28ix + -28ix + -7ix2 + 7ix2 + 196i2 + -49i2x + -4x2 + x3) = 0

Combine like terms: 28ix + -28ix = 0
(0 + -7ix2 + 7ix2 + 196i2 + -49i2x + -4x2 + x3) = 0
(-7ix2 + 7ix2 + 196i2 + -49i2x + -4x2 + x3) = 0

Combine like terms: -7ix2 + 7ix2 = 0
(0 + 196i2 + -49i2x + -4x2 + x3) = 0
(196i2 + -49i2x + -4x2 + x3) = 0

Solving
196i2 + -49i2x + -4x2 + x3 = 0

Solving for variable 'i'.

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

Add '4x2' to each side of the equation.
196i2 + -49i2x + -4x2 + 4x2 + x3 = 0 + 4x2

Combine like terms: -4x2 + 4x2 = 0
196i2 + -49i2x + 0 + x3 = 0 + 4x2
196i2 + -49i2x + x3 = 0 + 4x2
Remove the zero:
196i2 + -49i2x + x3 = 4x2

Add '-1x3' to each side of the equation.
196i2 + -49i2x + x3 + -1x3 = 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
196i2 + -49i2x + 0 = 4x2 + -1x3
196i2 + -49i2x = 4x2 + -1x3

Reorder the terms:
196i2 + -49i2x + -4x2 + x3 = 4x2 + -4x2 + -1x3 + x3

Combine like terms: 4x2 + -4x2 = 0
196i2 + -49i2x + -4x2 + x3 = 0 + -1x3 + x3
196i2 + -49i2x + -4x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
196i2 + -49i2x + -4x2 + x3 = 0

The solution to this equation could not be determined.

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