4c-4d+(-2c-3d)i=-4+12i

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Solution for 4c-4d+(-2c-3d)i=-4+12i equation: 


Simplifying
4c + -4d + (-2c + -3d) * i = -4 + 12i

Reorder the terms for easier multiplication:
4c + -4d + i(-2c + -3d) = -4 + 12i
4c + -4d + (-2c * i + -3d * i) = -4 + 12i
4c + -4d + (-2ci + -3di) = -4 + 12i

Reorder the terms:
4c + -2ci + -4d + -3di = -4 + 12i

Solving
4c + -2ci + -4d + -3di = -4 + 12i

Solving for variable 'c'.

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

Add '4d' to each side of the equation.
4c + -2ci + -4d + 4d + -3di = -4 + 4d + 12i

Combine like terms: -4d + 4d = 0
4c + -2ci + 0 + -3di = -4 + 4d + 12i
4c + -2ci + -3di = -4 + 4d + 12i

Add '3di' to each side of the equation.
4c + -2ci + -3di + 3di = -4 + 4d + 3di + 12i

Combine like terms: -3di + 3di = 0
4c + -2ci + 0 = -4 + 4d + 3di + 12i
4c + -2ci = -4 + 4d + 3di + 12i

Reorder the terms:
4 + 4c + -2ci + -4d + -3di + -12i = -4 + 4d + 3di + 12i + 4 + -4d + -3di + -12i

Reorder the terms:
4 + 4c + -2ci + -4d + -3di + -12i = -4 + 4 + 4d + -4d + 3di + -3di + 12i + -12i

Combine like terms: -4 + 4 = 0
4 + 4c + -2ci + -4d + -3di + -12i = 0 + 4d + -4d + 3di + -3di + 12i + -12i
4 + 4c + -2ci + -4d + -3di + -12i = 4d + -4d + 3di + -3di + 12i + -12i

Combine like terms: 4d + -4d = 0
4 + 4c + -2ci + -4d + -3di + -12i = 0 + 3di + -3di + 12i + -12i
4 + 4c + -2ci + -4d + -3di + -12i = 3di + -3di + 12i + -12i

Combine like terms: 3di + -3di = 0
4 + 4c + -2ci + -4d + -3di + -12i = 0 + 12i + -12i
4 + 4c + -2ci + -4d + -3di + -12i = 12i + -12i

Combine like terms: 12i + -12i = 0
4 + 4c + -2ci + -4d + -3di + -12i = 0

The solution to this equation could not be determined.

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