(-a-bi)=4(a^2-2abi-b)+36

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Solution for (-a-bi)=4(a^2-2abi-b)+36 equation:


Simplifying
(-1a + -1bi) = 4(a2 + -2abi + -1b) + 36

Remove parenthesis around (-1a + -1bi)
-1a + -1bi = 4(a2 + -2abi + -1b) + 36

Reorder the terms:
-1a + -1bi = 4(-2abi + a2 + -1b) + 36
-1a + -1bi = (-2abi * 4 + a2 * 4 + -1b * 4) + 36
-1a + -1bi = (-8abi + 4a2 + -4b) + 36

Reorder the terms:
-1a + -1bi = 36 + -8abi + 4a2 + -4b

Solving
-1a + -1bi = 36 + -8abi + 4a2 + -4b

Solving for variable 'a'.

Reorder the terms:
-36 + -1a + 8abi + -4a2 + 4b + -1bi = 36 + -8abi + 4a2 + -4b + -36 + 8abi + -4a2 + 4b

Reorder the terms:
-36 + -1a + 8abi + -4a2 + 4b + -1bi = 36 + -36 + -8abi + 8abi + 4a2 + -4a2 + -4b + 4b

Combine like terms: 36 + -36 = 0
-36 + -1a + 8abi + -4a2 + 4b + -1bi = 0 + -8abi + 8abi + 4a2 + -4a2 + -4b + 4b
-36 + -1a + 8abi + -4a2 + 4b + -1bi = -8abi + 8abi + 4a2 + -4a2 + -4b + 4b

Combine like terms: -8abi + 8abi = 0
-36 + -1a + 8abi + -4a2 + 4b + -1bi = 0 + 4a2 + -4a2 + -4b + 4b
-36 + -1a + 8abi + -4a2 + 4b + -1bi = 4a2 + -4a2 + -4b + 4b

Combine like terms: 4a2 + -4a2 = 0
-36 + -1a + 8abi + -4a2 + 4b + -1bi = 0 + -4b + 4b
-36 + -1a + 8abi + -4a2 + 4b + -1bi = -4b + 4b

Combine like terms: -4b + 4b = 0
-36 + -1a + 8abi + -4a2 + 4b + -1bi = 0

The solution to this equation could not be determined.

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