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

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


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

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

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

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

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

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

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

Reorder the terms:
((21ix + 63i2) + -3ix * (3i + x) + -7x * (3i + x) + x2(3i + x)) = 0
((21ix + 63i2) + -3ix * (3i + x) + -7x * (3i + x) + x2(3i + x)) = 0
(21ix + 63i2 + (3i * -3ix + x * -3ix) + -7x * (3i + x) + x2(3i + x)) = 0

Reorder the terms:
(21ix + 63i2 + (-3ix2 + -9i2x) + -7x * (3i + x) + x2(3i + x)) = 0
(21ix + 63i2 + (-3ix2 + -9i2x) + -7x * (3i + x) + x2(3i + x)) = 0
(21ix + 63i2 + -3ix2 + -9i2x + (3i * -7x + x * -7x) + x2(3i + x)) = 0
(21ix + 63i2 + -3ix2 + -9i2x + (-21ix + -7x2) + x2(3i + x)) = 0
(21ix + 63i2 + -3ix2 + -9i2x + -21ix + -7x2 + (3i * x2 + x * x2)) = 0
(21ix + 63i2 + -3ix2 + -9i2x + -21ix + -7x2 + (3ix2 + x3)) = 0

Reorder the terms:
(21ix + -21ix + -3ix2 + 3ix2 + 63i2 + -9i2x + -7x2 + x3) = 0

Combine like terms: 21ix + -21ix = 0
(0 + -3ix2 + 3ix2 + 63i2 + -9i2x + -7x2 + x3) = 0
(-3ix2 + 3ix2 + 63i2 + -9i2x + -7x2 + x3) = 0

Combine like terms: -3ix2 + 3ix2 = 0
(0 + 63i2 + -9i2x + -7x2 + x3) = 0
(63i2 + -9i2x + -7x2 + x3) = 0

Solving
63i2 + -9i2x + -7x2 + x3 = 0

Solving for variable 'i'.

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

Add '7x2' to each side of the equation.
63i2 + -9i2x + -7x2 + 7x2 + x3 = 0 + 7x2

Combine like terms: -7x2 + 7x2 = 0
63i2 + -9i2x + 0 + x3 = 0 + 7x2
63i2 + -9i2x + x3 = 0 + 7x2
Remove the zero:
63i2 + -9i2x + x3 = 7x2

Add '-1x3' to each side of the equation.
63i2 + -9i2x + x3 + -1x3 = 7x2 + -1x3

Combine like terms: x3 + -1x3 = 0
63i2 + -9i2x + 0 = 7x2 + -1x3
63i2 + -9i2x = 7x2 + -1x3

Reorder the terms:
63i2 + -9i2x + -7x2 + x3 = 7x2 + -7x2 + -1x3 + x3

Combine like terms: 7x2 + -7x2 = 0
63i2 + -9i2x + -7x2 + x3 = 0 + -1x3 + x3
63i2 + -9i2x + -7x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
63i2 + -9i2x + -7x2 + x3 = 0

The solution to this equation could not be determined.

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