(x-1+4i)(x+1+4i)=0

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Solution for (x-1+4i)(x+1+4i)=0 equation:


Simplifying
(x + -1 + 4i)(x + 1 + 4i) = 0

Reorder the terms:
(-1 + 4i + x)(x + 1 + 4i) = 0

Reorder the terms:
(-1 + 4i + x)(1 + 4i + x) = 0

Multiply (-1 + 4i + x) * (1 + 4i + x)
(-1(1 + 4i + x) + 4i * (1 + 4i + x) + x(1 + 4i + x)) = 0
((1 * -1 + 4i * -1 + x * -1) + 4i * (1 + 4i + x) + x(1 + 4i + x)) = 0
((-1 + -4i + -1x) + 4i * (1 + 4i + x) + x(1 + 4i + x)) = 0
(-1 + -4i + -1x + (1 * 4i + 4i * 4i + x * 4i) + x(1 + 4i + x)) = 0

Reorder the terms:
(-1 + -4i + -1x + (4i + 4ix + 16i2) + x(1 + 4i + x)) = 0
(-1 + -4i + -1x + (4i + 4ix + 16i2) + x(1 + 4i + x)) = 0
(-1 + -4i + -1x + 4i + 4ix + 16i2 + (1 * x + 4i * x + x * x)) = 0

Reorder the terms:
(-1 + -4i + -1x + 4i + 4ix + 16i2 + (4ix + 1x + x2)) = 0
(-1 + -4i + -1x + 4i + 4ix + 16i2 + (4ix + 1x + x2)) = 0

Reorder the terms:
(-1 + -4i + 4i + 4ix + 4ix + 16i2 + -1x + 1x + x2) = 0

Combine like terms: -4i + 4i = 0
(-1 + 0 + 4ix + 4ix + 16i2 + -1x + 1x + x2) = 0
(-1 + 4ix + 4ix + 16i2 + -1x + 1x + x2) = 0

Combine like terms: 4ix + 4ix = 8ix
(-1 + 8ix + 16i2 + -1x + 1x + x2) = 0

Combine like terms: -1x + 1x = 0
(-1 + 8ix + 16i2 + 0 + x2) = 0
(-1 + 8ix + 16i2 + x2) = 0

Solving
-1 + 8ix + 16i2 + x2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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