(x-5i)(x+5i)(x-3)=0

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Solution for (x-5i)(x+5i)(x-3)=0 equation: 


Simplifying
(x + -5i)(x + 5i)(x + -3) = 0

Reorder the terms:
(-5i + x)(x + 5i)(x + -3) = 0

Reorder the terms:
(-5i + x)(5i + x)(x + -3) = 0

Reorder the terms:
(-5i + x)(5i + x)(-3 + x) = 0

Multiply (-5i + x) * (5i + x)
(-5i * (5i + x) + x(5i + x))(-3 + x) = 0
((5i * -5i + x * -5i) + x(5i + x))(-3 + x) = 0

Reorder the terms:
((-5ix + -25i2) + x(5i + x))(-3 + x) = 0
((-5ix + -25i2) + x(5i + x))(-3 + x) = 0
(-5ix + -25i2 + (5i * x + x * x))(-3 + x) = 0
(-5ix + -25i2 + (5ix + x2))(-3 + x) = 0

Reorder the terms:
(-5ix + 5ix + -25i2 + x2)(-3 + x) = 0

Combine like terms: -5ix + 5ix = 0
(0 + -25i2 + x2)(-3 + x) = 0
(-25i2 + x2)(-3 + x) = 0

Multiply (-25i2 + x2) * (-3 + x)
(-25i2 * (-3 + x) + x2(-3 + x)) = 0
((-3 * -25i2 + x * -25i2) + x2(-3 + x)) = 0
((75i2 + -25i2x) + x2(-3 + x)) = 0
(75i2 + -25i2x + (-3 * x2 + x * x2)) = 0
(75i2 + -25i2x + (-3x2 + x3)) = 0
(75i2 + -25i2x + -3x2 + x3) = 0

Solving
75i2 + -25i2x + -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.
75i2 + -25i2x + -3x2 + 3x2 + x3 = 0 + 3x2

Combine like terms: -3x2 + 3x2 = 0
75i2 + -25i2x + 0 + x3 = 0 + 3x2
75i2 + -25i2x + x3 = 0 + 3x2
Remove the zero:
75i2 + -25i2x + x3 = 3x2

Add '-1x3' to each side of the equation.
75i2 + -25i2x + x3 + -1x3 = 3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
75i2 + -25i2x + 0 = 3x2 + -1x3
75i2 + -25i2x = 3x2 + -1x3

Reorder the terms:
75i2 + -25i2x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3

Combine like terms: 3x2 + -3x2 = 0
75i2 + -25i2x + -3x2 + x3 = 0 + -1x3 + x3
75i2 + -25i2x + -3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
75i2 + -25i2x + -3x2 + x3 = 0

The solution to this equation could not be determined.

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