(x+3i)(-2+5i)=(-17+yi)

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Solution for (x+3i)(-2+5i)=(-17+yi) equation:


Simplifying
(x + 3i)(-2 + 5i) = (-17 + yi)

Reorder the terms:
(3i + x)(-2 + 5i) = (-17 + yi)

Multiply (3i + x) * (-2 + 5i)
(3i * (-2 + 5i) + x(-2 + 5i)) = (-17 + yi)
((-2 * 3i + 5i * 3i) + x(-2 + 5i)) = (-17 + yi)
((-6i + 15i2) + x(-2 + 5i)) = (-17 + yi)
(-6i + 15i2 + (-2 * x + 5i * x)) = (-17 + yi)

Reorder the terms:
(-6i + 15i2 + (5ix + -2x)) = (-17 + yi)
(-6i + 15i2 + (5ix + -2x)) = (-17 + yi)

Reorder the terms:
(-6i + 5ix + 15i2 + -2x) = (-17 + yi)
(-6i + 5ix + 15i2 + -2x) = (-17 + yi)

Remove parenthesis around (-17 + iy)
-6i + 5ix + 15i2 + -2x = -17 + iy

Solving
-6i + 5ix + 15i2 + -2x = -17 + iy

Solving for variable 'i'.

Reorder the terms:
17 + -6i + 5ix + -1iy + 15i2 + -2x = -17 + iy + 17 + -1iy

Reorder the terms:
17 + -6i + 5ix + -1iy + 15i2 + -2x = -17 + 17 + iy + -1iy

Combine like terms: -17 + 17 = 0
17 + -6i + 5ix + -1iy + 15i2 + -2x = 0 + iy + -1iy
17 + -6i + 5ix + -1iy + 15i2 + -2x = iy + -1iy

Combine like terms: iy + -1iy = 0
17 + -6i + 5ix + -1iy + 15i2 + -2x = 0

The solution to this equation could not be determined.

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