9z^2+6(4-3i)z-(1+9i)=0

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Solution for 9z^2+6(4-3i)z-(1+9i)=0 equation: 


Simplifying
9z2 + 6(4 + -3i) * z + -1(1 + 9i) = 0

Reorder the terms for easier multiplication:
9z2 + 6z(4 + -3i) + -1(1 + 9i) = 0
9z2 + (4 * 6z + -3i * 6z) + -1(1 + 9i) = 0

Reorder the terms:
9z2 + (-18iz + 24z) + -1(1 + 9i) = 0
9z2 + (-18iz + 24z) + -1(1 + 9i) = 0
9z2 + -18iz + 24z + (1 * -1 + 9i * -1) = 0
9z2 + -18iz + 24z + (-1 + -9i) = 0

Reorder the terms:
-1 + -9i + -18iz + 24z + 9z2 = 0

Solving
-1 + -9i + -18iz + 24z + 9z2 = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + -9i + -18iz + 24z + 1 + 9z2 = 0 + 1

Reorder the terms:
-1 + 1 + -9i + -18iz + 24z + 9z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9i + -18iz + 24z + 9z2 = 0 + 1
-9i + -18iz + 24z + 9z2 = 0 + 1

Combine like terms: 0 + 1 = 1
-9i + -18iz + 24z + 9z2 = 1

Add '-24z' to each side of the equation.
-9i + -18iz + 24z + -24z + 9z2 = 1 + -24z

Combine like terms: 24z + -24z = 0
-9i + -18iz + 0 + 9z2 = 1 + -24z
-9i + -18iz + 9z2 = 1 + -24z

Add '-9z2' to each side of the equation.
-9i + -18iz + 9z2 + -9z2 = 1 + -24z + -9z2

Combine like terms: 9z2 + -9z2 = 0
-9i + -18iz + 0 = 1 + -24z + -9z2
-9i + -18iz = 1 + -24z + -9z2

Reorder the terms:
-1 + -9i + -18iz + 24z + 9z2 = 1 + -24z + -9z2 + -1 + 24z + 9z2

Reorder the terms:
-1 + -9i + -18iz + 24z + 9z2 = 1 + -1 + -24z + 24z + -9z2 + 9z2

Combine like terms: 1 + -1 = 0
-1 + -9i + -18iz + 24z + 9z2 = 0 + -24z + 24z + -9z2 + 9z2
-1 + -9i + -18iz + 24z + 9z2 = -24z + 24z + -9z2 + 9z2

Combine like terms: -24z + 24z = 0
-1 + -9i + -18iz + 24z + 9z2 = 0 + -9z2 + 9z2
-1 + -9i + -18iz + 24z + 9z2 = -9z2 + 9z2

Combine like terms: -9z2 + 9z2 = 0
-1 + -9i + -18iz + 24z + 9z2 = 0

The solution to this equation could not be determined.

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