15-23i=(2x+3i)(-3+yi)

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Solution for 15-23i=(2x+3i)(-3+yi) equation:


Simplifying
15 + -23i = (2x + 3i)(-3 + yi)

Reorder the terms:
15 + -23i = (3i + 2x)(-3 + yi)

Multiply (3i + 2x) * (-3 + iy)
15 + -23i = (3i * (-3 + iy) + 2x * (-3 + iy))
15 + -23i = ((-3 * 3i + iy * 3i) + 2x * (-3 + iy))
15 + -23i = ((-9i + 3i2y) + 2x * (-3 + iy))
15 + -23i = (-9i + 3i2y + (-3 * 2x + iy * 2x))

Reorder the terms:
15 + -23i = (-9i + 3i2y + (2ixy + -6x))
15 + -23i = (-9i + 3i2y + (2ixy + -6x))

Reorder the terms:
15 + -23i = (-9i + 2ixy + 3i2y + -6x)
15 + -23i = (-9i + 2ixy + 3i2y + -6x)

Solving
15 + -23i = -9i + 2ixy + 3i2y + -6x

Solving for variable 'i'.

Combine like terms: -23i + 9i = -14i
15 + -14i + -2ixy + -3i2y + 6x = -9i + 2ixy + 3i2y + -6x + 9i + -2ixy + -3i2y + 6x

Reorder the terms:
15 + -14i + -2ixy + -3i2y + 6x = -9i + 9i + 2ixy + -2ixy + 3i2y + -3i2y + -6x + 6x

Combine like terms: -9i + 9i = 0
15 + -14i + -2ixy + -3i2y + 6x = 0 + 2ixy + -2ixy + 3i2y + -3i2y + -6x + 6x
15 + -14i + -2ixy + -3i2y + 6x = 2ixy + -2ixy + 3i2y + -3i2y + -6x + 6x

Combine like terms: 2ixy + -2ixy = 0
15 + -14i + -2ixy + -3i2y + 6x = 0 + 3i2y + -3i2y + -6x + 6x
15 + -14i + -2ixy + -3i2y + 6x = 3i2y + -3i2y + -6x + 6x

Combine like terms: 3i2y + -3i2y = 0
15 + -14i + -2ixy + -3i2y + 6x = 0 + -6x + 6x
15 + -14i + -2ixy + -3i2y + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
15 + -14i + -2ixy + -3i2y + 6x = 0

The solution to this equation could not be determined.

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