10=(6+6i)(x+yi)

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Solution for 10=(6+6i)(x+yi) equation: 


Simplifying
10 = (6 + 6i)(x + yi)

Reorder the terms:
10 = (6 + 6i)(iy + x)

Multiply (6 + 6i) * (iy + x)
10 = (6(iy + x) + 6i * (iy + x))
10 = ((iy * 6 + x * 6) + 6i * (iy + x))
10 = ((6iy + 6x) + 6i * (iy + x))
10 = (6iy + 6x + (iy * 6i + x * 6i))

Reorder the terms:
10 = (6iy + 6x + (6ix + 6i2y))
10 = (6iy + 6x + (6ix + 6i2y))

Reorder the terms:
10 = (6ix + 6iy + 6i2y + 6x)
10 = (6ix + 6iy + 6i2y + 6x)

Solving
10 = 6ix + 6iy + 6i2y + 6x

Solving for variable 'i'.

Reorder the terms:
10 + -6ix + -6iy + -6i2y + -6x = 6ix + -6ix + 6iy + -6iy + 6i2y + -6i2y + 6x + -6x

Combine like terms: 6ix + -6ix = 0
10 + -6ix + -6iy + -6i2y + -6x = 0 + 6iy + -6iy + 6i2y + -6i2y + 6x + -6x
10 + -6ix + -6iy + -6i2y + -6x = 6iy + -6iy + 6i2y + -6i2y + 6x + -6x

Combine like terms: 6iy + -6iy = 0
10 + -6ix + -6iy + -6i2y + -6x = 0 + 6i2y + -6i2y + 6x + -6x
10 + -6ix + -6iy + -6i2y + -6x = 6i2y + -6i2y + 6x + -6x

Combine like terms: 6i2y + -6i2y = 0
10 + -6ix + -6iy + -6i2y + -6x = 0 + 6x + -6x
10 + -6ix + -6iy + -6i2y + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -6ix + -6iy + -6i2y + -6x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -3ix + -3iy + -3i2y + -3x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -3ix + -3iy + -3i2y + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3ix + -3iy + -3i2y + -3x = 0

Solving
5 + -3ix + -3iy + -3i2y + -3x = 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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