X^3+(2x-y)i=-8-3i

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Solution for X^3+(2x-y)i=-8-3i equation:


Simplifying
X3 + (2x + -1y) * i = -8 + -3i

Reorder the terms for easier multiplication:
X3 + i(2x + -1y) = -8 + -3i
X3 + (2x * i + -1y * i) = -8 + -3i
X3 + (2ix + -1iy) = -8 + -3i

Solving
X3 + 2ix + -1iy = -8 + -3i

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-2ix' to each side of the equation.
X3 + 2ix + -2ix + -1iy = -8 + -3i + -2ix

Combine like terms: 2ix + -2ix = 0
X3 + 0 + -1iy = -8 + -3i + -2ix
X3 + -1iy = -8 + -3i + -2ix

Add 'iy' to each side of the equation.
X3 + -1iy + iy = -8 + -3i + -2ix + iy

Combine like terms: -1iy + iy = 0
X3 + 0 = -8 + -3i + -2ix + iy
X3 = -8 + -3i + -2ix + iy

Simplifying
X3 = -8 + -3i + -2ix + iy

Reorder the terms:
8 + X3 + 3i + 2ix + -1iy = -8 + -3i + -2ix + iy + 8 + 3i + 2ix + -1iy

Reorder the terms:
8 + X3 + 3i + 2ix + -1iy = -8 + 8 + -3i + 3i + -2ix + 2ix + iy + -1iy

Combine like terms: -8 + 8 = 0
8 + X3 + 3i + 2ix + -1iy = 0 + -3i + 3i + -2ix + 2ix + iy + -1iy
8 + X3 + 3i + 2ix + -1iy = -3i + 3i + -2ix + 2ix + iy + -1iy

Combine like terms: -3i + 3i = 0
8 + X3 + 3i + 2ix + -1iy = 0 + -2ix + 2ix + iy + -1iy
8 + X3 + 3i + 2ix + -1iy = -2ix + 2ix + iy + -1iy

Combine like terms: -2ix + 2ix = 0
8 + X3 + 3i + 2ix + -1iy = 0 + iy + -1iy
8 + X3 + 3i + 2ix + -1iy = iy + -1iy

Combine like terms: iy + -1iy = 0
8 + X3 + 3i + 2ix + -1iy = 0

The solution to this equation could not be determined.

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