(i-z)(1+2i)+(1-zi)(3-4i)-1-7i=0

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Solution for (i-z)(1+2i)+(1-zi)(3-4i)-1-7i=0 equation: 


Simplifying
(i + -1z)(1 + 2i) + (1 + -1zi)(3 + -4i) + -1 + -7i = 0

Multiply (i + -1z) * (1 + 2i)
(i(1 + 2i) + -1z * (1 + 2i)) + (1 + -1zi)(3 + -4i) + -1 + -7i = 0
((1 * i + 2i * i) + -1z * (1 + 2i)) + (1 + -1zi)(3 + -4i) + -1 + -7i = 0
((1i + 2i2) + -1z * (1 + 2i)) + (1 + -1zi)(3 + -4i) + -1 + -7i = 0
(1i + 2i2 + (1 * -1z + 2i * -1z)) + (1 + -1zi)(3 + -4i) + -1 + -7i = 0

Reorder the terms:
(1i + 2i2 + (-2iz + -1z)) + (1 + -1zi)(3 + -4i) + -1 + -7i = 0
(1i + 2i2 + (-2iz + -1z)) + (1 + -1zi)(3 + -4i) + -1 + -7i = 0

Reorder the terms:
(1i + -2iz + 2i2 + -1z) + (1 + -1zi)(3 + -4i) + -1 + -7i = 0
(1i + -2iz + 2i2 + -1z) + (1 + -1zi)(3 + -4i) + -1 + -7i = 0

Multiply (1 + -1iz) * (3 + -4i)
1i + -2iz + 2i2 + -1z + (1(3 + -4i) + -1iz * (3 + -4i)) + -1 + -7i = 0
1i + -2iz + 2i2 + -1z + ((3 * 1 + -4i * 1) + -1iz * (3 + -4i)) + -1 + -7i = 0
1i + -2iz + 2i2 + -1z + ((3 + -4i) + -1iz * (3 + -4i)) + -1 + -7i = 0
1i + -2iz + 2i2 + -1z + (3 + -4i + (3 * -1iz + -4i * -1iz)) + -1 + -7i = 0
1i + -2iz + 2i2 + -1z + (3 + -4i + (-3iz + 4i2z)) + -1 + -7i = 0
1i + -2iz + 2i2 + -1z + (3 + -4i + -3iz + 4i2z) + -1 + -7i = 0

Reorder the terms:
3 + -1 + 1i + -4i + -7i + -2iz + -3iz + 2i2 + 4i2z + -1z = 0

Combine like terms: 3 + -1 = 2
2 + 1i + -4i + -7i + -2iz + -3iz + 2i2 + 4i2z + -1z = 0

Combine like terms: 1i + -4i = -3i
2 + -3i + -7i + -2iz + -3iz + 2i2 + 4i2z + -1z = 0

Combine like terms: -3i + -7i = -10i
2 + -10i + -2iz + -3iz + 2i2 + 4i2z + -1z = 0

Combine like terms: -2iz + -3iz = -5iz
2 + -10i + -5iz + 2i2 + 4i2z + -1z = 0

Solving
2 + -10i + -5iz + 2i2 + 4i2z + -1z = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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