2x^2+(i-2)z+6+3i=0

Solution for 2x^2+(i-2)z+6+3i=0 equation:

Simplifying
2x2 + (i + -2) * z + 6 + 3i = 0

Reorder the terms:
2x2 + (-2 + i) * z + 6 + 3i = 0

Reorder the terms for easier multiplication:
2x2 + z(-2 + i) + 6 + 3i = 0
2x2 + (-2 * z + i * z) + 6 + 3i = 0

Reorder the terms:
2x2 + (iz + -2z) + 6 + 3i = 0
2x2 + (iz + -2z) + 6 + 3i = 0

Reorder the terms:
6 + 3i + iz + 2x2 + -2z = 0

Solving
6 + 3i + iz + 2x2 + -2z = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + 3i + iz + 2x2 + -6 + -2z = 0 + -6

Reorder the terms:
6 + -6 + 3i + iz + 2x2 + -2z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3i + iz + 2x2 + -2z = 0 + -6
3i + iz + 2x2 + -2z = 0 + -6

Combine like terms: 0 + -6 = -6
3i + iz + 2x2 + -2z = -6

Add '-2x2' to each side of the equation.
3i + iz + 2x2 + -2x2 + -2z = -6 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3i + iz + 0 + -2z = -6 + -2x2
3i + iz + -2z = -6 + -2x2

Add '2z' to each side of the equation.
3i + iz + -2z + 2z = -6 + -2x2 + 2z

Combine like terms: -2z + 2z = 0
3i + iz + 0 = -6 + -2x2 + 2z
3i + iz = -6 + -2x2 + 2z

Reorder the terms:
6 + 3i + iz + 2x2 + -2z = -6 + -2x2 + 2z + 6 + 2x2 + -2z

Reorder the terms:
6 + 3i + iz + 2x2 + -2z = -6 + 6 + -2x2 + 2x2 + 2z + -2z

Combine like terms: -6 + 6 = 0
6 + 3i + iz + 2x2 + -2z = 0 + -2x2 + 2x2 + 2z + -2z
6 + 3i + iz + 2x2 + -2z = -2x2 + 2x2 + 2z + -2z

Combine like terms: -2x2 + 2x2 = 0
6 + 3i + iz + 2x2 + -2z = 0 + 2z + -2z
6 + 3i + iz + 2x2 + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 3i + iz + 2x2 + -2z = 0

The solution to this equation could not be determined.