3z^2-iz+2i=4z^2+3z-4+i

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Solution for 3z^2-iz+2i=4z^2+3z-4+i equation: 


Simplifying
3z2 + -1iz + 2i = 4z2 + 3z + -4 + i

Reorder the terms:
2i + -1iz + 3z2 = 4z2 + 3z + -4 + i

Reorder the terms:
2i + -1iz + 3z2 = -4 + i + 3z + 4z2

Solving
2i + -1iz + 3z2 = -4 + i + 3z + 4z2

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
2i + -1iz + -1i + 3z2 = -4 + i + 3z + -1i + 4z2

Reorder the terms:
2i + -1i + -1iz + 3z2 = -4 + i + 3z + -1i + 4z2

Combine like terms: 2i + -1i = 1i
1i + -1iz + 3z2 = -4 + i + 3z + -1i + 4z2

Reorder the terms:
1i + -1iz + 3z2 = -4 + i + -1i + 3z + 4z2

Combine like terms: i + -1i = 0
1i + -1iz + 3z2 = -4 + 0 + 3z + 4z2
1i + -1iz + 3z2 = -4 + 3z + 4z2

Add '-3z2' to each side of the equation.
1i + -1iz + 3z2 + -3z2 = -4 + 3z + 4z2 + -3z2

Combine like terms: 3z2 + -3z2 = 0
1i + -1iz + 0 = -4 + 3z + 4z2 + -3z2
1i + -1iz = -4 + 3z + 4z2 + -3z2

Combine like terms: 4z2 + -3z2 = 1z2
1i + -1iz = -4 + 3z + 1z2

Reorder the terms:
4 + 1i + -1iz + -3z + -1z2 = -4 + 3z + 1z2 + 4 + -3z + -1z2

Reorder the terms:
4 + 1i + -1iz + -3z + -1z2 = -4 + 4 + 3z + -3z + 1z2 + -1z2

Combine like terms: -4 + 4 = 0
4 + 1i + -1iz + -3z + -1z2 = 0 + 3z + -3z + 1z2 + -1z2
4 + 1i + -1iz + -3z + -1z2 = 3z + -3z + 1z2 + -1z2

Combine like terms: 3z + -3z = 0
4 + 1i + -1iz + -3z + -1z2 = 0 + 1z2 + -1z2
4 + 1i + -1iz + -3z + -1z2 = 1z2 + -1z2

Combine like terms: 1z2 + -1z2 = 0
4 + 1i + -1iz + -3z + -1z2 = 0

The solution to this equation could not be determined.

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