(-8+8i)(-8+8i)=x(64+64i)

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Solution for (-8+8i)(-8+8i)=x(64+64i) equation: 


Simplifying
(-8 + 8i)(-8 + 8i) = x(64 + 64i)

Multiply (-8 + 8i) * (-8 + 8i)
(-8(-8 + 8i) + 8i * (-8 + 8i)) = x(64 + 64i)
((-8 * -8 + 8i * -8) + 8i * (-8 + 8i)) = x(64 + 64i)
((64 + -64i) + 8i * (-8 + 8i)) = x(64 + 64i)
(64 + -64i + (-8 * 8i + 8i * 8i)) = x(64 + 64i)
(64 + -64i + (-64i + 64i2)) = x(64 + 64i)

Combine like terms: -64i + -64i = -128i
(64 + -128i + 64i2) = x(64 + 64i)
64 + -128i + 64i2 = (64 * x + 64i * x)

Reorder the terms:
64 + -128i + 64i2 = (64ix + 64x)
64 + -128i + 64i2 = (64ix + 64x)

Solving
64 + -128i + 64i2 = 64ix + 64x

Solving for variable 'i'.

Reorder the terms:
64 + -128i + -64ix + 64i2 + -64x = 64ix + 64x + -64ix + -64x

Reorder the terms:
64 + -128i + -64ix + 64i2 + -64x = 64ix + -64ix + 64x + -64x

Combine like terms: 64ix + -64ix = 0
64 + -128i + -64ix + 64i2 + -64x = 0 + 64x + -64x
64 + -128i + -64ix + 64i2 + -64x = 64x + -64x

Combine like terms: 64x + -64x = 0
64 + -128i + -64ix + 64i2 + -64x = 0

Factor out the Greatest Common Factor (GCF), '64'.
64(1 + -2i + -1ix + i2 + -1x) = 0

Ignore the factor 64.

Subproblem 1
Set the factor '(1 + -2i + -1ix + i2 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -2i + -1ix + i2 + -1x = 0

Solving
1 + -2i + -1ix + i2 + -1x = 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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