(2-3i)(x+i)=17-6i

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Solution for (2-3i)(x+i)=17-6i equation:


Simplifying
(2 + -3i)(x + i) = 17 + -6i

Reorder the terms:
(2 + -3i)(i + x) = 17 + -6i

Multiply (2 + -3i) * (i + x)
(2(i + x) + -3i * (i + x)) = 17 + -6i
((i * 2 + x * 2) + -3i * (i + x)) = 17 + -6i
((2i + 2x) + -3i * (i + x)) = 17 + -6i
(2i + 2x + (i * -3i + x * -3i)) = 17 + -6i

Reorder the terms:
(2i + 2x + (-3ix + -3i2)) = 17 + -6i
(2i + 2x + (-3ix + -3i2)) = 17 + -6i

Reorder the terms:
(2i + -3ix + -3i2 + 2x) = 17 + -6i
(2i + -3ix + -3i2 + 2x) = 17 + -6i

Solving
2i + -3ix + -3i2 + 2x = 17 + -6i

Solving for variable 'i'.

Reorder the terms:
-17 + 2i + 6i + -3ix + -3i2 + 2x = 17 + -6i + -17 + 6i

Combine like terms: 2i + 6i = 8i
-17 + 8i + -3ix + -3i2 + 2x = 17 + -6i + -17 + 6i

Reorder the terms:
-17 + 8i + -3ix + -3i2 + 2x = 17 + -17 + -6i + 6i

Combine like terms: 17 + -17 = 0
-17 + 8i + -3ix + -3i2 + 2x = 0 + -6i + 6i
-17 + 8i + -3ix + -3i2 + 2x = -6i + 6i

Combine like terms: -6i + 6i = 0
-17 + 8i + -3ix + -3i2 + 2x = 0

The solution to this equation could not be determined.

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