20z^2+(64-24i)z+43-36i=0

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Solution for 20z^2+(64-24i)z+43-36i=0 equation: 


Simplifying
20z2 + (64 + -24i) * z + 43 + -36i = 0

Reorder the terms for easier multiplication:
20z2 + z(64 + -24i) + 43 + -36i = 0
20z2 + (64 * z + -24i * z) + 43 + -36i = 0

Reorder the terms:
20z2 + (-24iz + 64z) + 43 + -36i = 0
20z2 + (-24iz + 64z) + 43 + -36i = 0

Reorder the terms:
43 + -36i + -24iz + 64z + 20z2 = 0

Solving
43 + -36i + -24iz + 64z + 20z2 = 0

Solving for variable 'i'.

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

Add '-43' to each side of the equation.
43 + -36i + -24iz + 64z + -43 + 20z2 = 0 + -43

Reorder the terms:
43 + -43 + -36i + -24iz + 64z + 20z2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -36i + -24iz + 64z + 20z2 = 0 + -43
-36i + -24iz + 64z + 20z2 = 0 + -43

Combine like terms: 0 + -43 = -43
-36i + -24iz + 64z + 20z2 = -43

Add '-64z' to each side of the equation.
-36i + -24iz + 64z + -64z + 20z2 = -43 + -64z

Combine like terms: 64z + -64z = 0
-36i + -24iz + 0 + 20z2 = -43 + -64z
-36i + -24iz + 20z2 = -43 + -64z

Add '-20z2' to each side of the equation.
-36i + -24iz + 20z2 + -20z2 = -43 + -64z + -20z2

Combine like terms: 20z2 + -20z2 = 0
-36i + -24iz + 0 = -43 + -64z + -20z2
-36i + -24iz = -43 + -64z + -20z2

Reorder the terms:
43 + -36i + -24iz + 64z + 20z2 = -43 + -64z + -20z2 + 43 + 64z + 20z2

Reorder the terms:
43 + -36i + -24iz + 64z + 20z2 = -43 + 43 + -64z + 64z + -20z2 + 20z2

Combine like terms: -43 + 43 = 0
43 + -36i + -24iz + 64z + 20z2 = 0 + -64z + 64z + -20z2 + 20z2
43 + -36i + -24iz + 64z + 20z2 = -64z + 64z + -20z2 + 20z2

Combine like terms: -64z + 64z = 0
43 + -36i + -24iz + 64z + 20z2 = 0 + -20z2 + 20z2
43 + -36i + -24iz + 64z + 20z2 = -20z2 + 20z2

Combine like terms: -20z2 + 20z2 = 0
43 + -36i + -24iz + 64z + 20z2 = 0

The solution to this equation could not be determined.

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