(-x+2i)(x-2i)=-x^2-4

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Solution for (-x+2i)(x-2i)=-x^2-4 equation: 


Simplifying
(-1x + 2i)(x + -2i) = -1x2 + -4

Reorder the terms:
(2i + -1x)(x + -2i) = -1x2 + -4

Reorder the terms:
(2i + -1x)(-2i + x) = -1x2 + -4

Multiply (2i + -1x) * (-2i + x)
(2i * (-2i + x) + -1x * (-2i + x)) = -1x2 + -4
((-2i * 2i + x * 2i) + -1x * (-2i + x)) = -1x2 + -4

Reorder the terms:
((2ix + -4i2) + -1x * (-2i + x)) = -1x2 + -4
((2ix + -4i2) + -1x * (-2i + x)) = -1x2 + -4
(2ix + -4i2 + (-2i * -1x + x * -1x)) = -1x2 + -4
(2ix + -4i2 + (2ix + -1x2)) = -1x2 + -4

Reorder the terms:
(2ix + 2ix + -4i2 + -1x2) = -1x2 + -4

Combine like terms: 2ix + 2ix = 4ix
(4ix + -4i2 + -1x2) = -1x2 + -4

Reorder the terms:
4ix + -4i2 + -1x2 = -4 + -1x2

Add 'x2' to each side of the equation.
4ix + -4i2 + -1x2 + x2 = -4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4ix + -4i2 + 0 = -4 + -1x2 + x2
4ix + -4i2 = -4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4ix + -4i2 = -4 + 0
4ix + -4i2 = -4

Solving
4ix + -4i2 = -4

Solving for variable 'i'.

Reorder the terms:
4 + 4ix + -4i2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 4ix + -4i2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + ix + -1i2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + ix + -1i2)' equal to zero and attempt to solve:

Simplifying
1 + ix + -1i2 = 0

Solving
1 + ix + -1i2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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