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

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


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

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

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

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

Multiply (10 + x) * (2i + x)
(10(2i + x) + x(2i + x))(-2i + x) = 0
((2i * 10 + x * 10) + x(2i + x))(-2i + x) = 0
((20i + 10x) + x(2i + x))(-2i + x) = 0
(20i + 10x + (2i * x + x * x))(-2i + x) = 0
(20i + 10x + (2ix + x2))(-2i + x) = 0

Reorder the terms:
(20i + 2ix + 10x + x2)(-2i + x) = 0
(20i + 2ix + 10x + x2)(-2i + x) = 0

Multiply (20i + 2ix + 10x + x2) * (-2i + x)
(20i * (-2i + x) + 2ix * (-2i + x) + 10x * (-2i + x) + x2(-2i + x)) = 0
((-2i * 20i + x * 20i) + 2ix * (-2i + x) + 10x * (-2i + x) + x2(-2i + x)) = 0

Reorder the terms:
((20ix + -40i2) + 2ix * (-2i + x) + 10x * (-2i + x) + x2(-2i + x)) = 0
((20ix + -40i2) + 2ix * (-2i + x) + 10x * (-2i + x) + x2(-2i + x)) = 0
(20ix + -40i2 + (-2i * 2ix + x * 2ix) + 10x * (-2i + x) + x2(-2i + x)) = 0

Reorder the terms:
(20ix + -40i2 + (2ix2 + -4i2x) + 10x * (-2i + x) + x2(-2i + x)) = 0
(20ix + -40i2 + (2ix2 + -4i2x) + 10x * (-2i + x) + x2(-2i + x)) = 0
(20ix + -40i2 + 2ix2 + -4i2x + (-2i * 10x + x * 10x) + x2(-2i + x)) = 0
(20ix + -40i2 + 2ix2 + -4i2x + (-20ix + 10x2) + x2(-2i + x)) = 0
(20ix + -40i2 + 2ix2 + -4i2x + -20ix + 10x2 + (-2i * x2 + x * x2)) = 0
(20ix + -40i2 + 2ix2 + -4i2x + -20ix + 10x2 + (-2ix2 + x3)) = 0

Reorder the terms:
(20ix + -20ix + 2ix2 + -2ix2 + -40i2 + -4i2x + 10x2 + x3) = 0

Combine like terms: 20ix + -20ix = 0
(0 + 2ix2 + -2ix2 + -40i2 + -4i2x + 10x2 + x3) = 0
(2ix2 + -2ix2 + -40i2 + -4i2x + 10x2 + x3) = 0

Combine like terms: 2ix2 + -2ix2 = 0
(0 + -40i2 + -4i2x + 10x2 + x3) = 0
(-40i2 + -4i2x + 10x2 + x3) = 0

Solving
-40i2 + -4i2x + 10x2 + x3 = 0

Solving for variable 'i'.

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

Add '-10x2' to each side of the equation.
-40i2 + -4i2x + 10x2 + -10x2 + x3 = 0 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-40i2 + -4i2x + 0 + x3 = 0 + -10x2
-40i2 + -4i2x + x3 = 0 + -10x2
Remove the zero:
-40i2 + -4i2x + x3 = -10x2

Add '-1x3' to each side of the equation.
-40i2 + -4i2x + x3 + -1x3 = -10x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-40i2 + -4i2x + 0 = -10x2 + -1x3
-40i2 + -4i2x = -10x2 + -1x3

Reorder the terms:
-40i2 + -4i2x + 10x2 + x3 = -10x2 + 10x2 + -1x3 + x3

Combine like terms: -10x2 + 10x2 = 0
-40i2 + -4i2x + 10x2 + x3 = 0 + -1x3 + x3
-40i2 + -4i2x + 10x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-40i2 + -4i2x + 10x2 + x3 = 0

The solution to this equation could not be determined.

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