(x-10)(x+10)(x-2i)=0

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Solution for (x-10)(x+10)(x-2i)=0 equation:


Simplifying
(x + -10)(x + 10)(x + -2i) = 0

Reorder the terms:
(-10 + x)(x + 10)(x + -2i) = 0

Reorder the terms:
(-10 + x)(10 + x)(x + -2i) = 0

Reorder the terms:
(-10 + x)(10 + x)(-2i + x) = 0

Multiply (-10 + x) * (10 + x)
(-10(10 + x) + x(10 + x))(-2i + x) = 0
((10 * -10 + x * -10) + x(10 + x))(-2i + x) = 0
((-100 + -10x) + x(10 + x))(-2i + x) = 0
(-100 + -10x + (10 * x + x * x))(-2i + x) = 0
(-100 + -10x + (10x + x2))(-2i + x) = 0

Combine like terms: -10x + 10x = 0
(-100 + 0 + x2)(-2i + x) = 0
(-100 + x2)(-2i + x) = 0

Multiply (-100 + x2) * (-2i + x)
(-100(-2i + x) + x2(-2i + x)) = 0
((-2i * -100 + x * -100) + x2(-2i + x)) = 0
((200i + -100x) + x2(-2i + x)) = 0
(200i + -100x + (-2i * x2 + x * x2)) = 0
(200i + -100x + (-2ix2 + x3)) = 0

Reorder the terms:
(200i + -2ix2 + -100x + x3) = 0
(200i + -2ix2 + -100x + x3) = 0

Solving
200i + -2ix2 + -100x + x3 = 0

Solving for variable 'i'.

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

Add '100x' to each side of the equation.
200i + -2ix2 + -100x + 100x + x3 = 0 + 100x

Combine like terms: -100x + 100x = 0
200i + -2ix2 + 0 + x3 = 0 + 100x
200i + -2ix2 + x3 = 0 + 100x
Remove the zero:
200i + -2ix2 + x3 = 100x

Add '-1x3' to each side of the equation.
200i + -2ix2 + x3 + -1x3 = 100x + -1x3

Combine like terms: x3 + -1x3 = 0
200i + -2ix2 + 0 = 100x + -1x3
200i + -2ix2 = 100x + -1x3

Reorder the terms:
200i + -2ix2 + -100x + x3 = 100x + -100x + -1x3 + x3

Combine like terms: 100x + -100x = 0
200i + -2ix2 + -100x + x3 = 0 + -1x3 + x3
200i + -2ix2 + -100x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
200i + -2ix2 + -100x + x3 = 0

The solution to this equation could not be determined.

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