x^2+12x+33+4i=0

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Solution for x^2+12x+33+4i=0 equation: 


Simplifying
x2 + 12x + 33 + 4i = 0

Reorder the terms:
33 + 4i + 12x + x2 = 0

Solving
33 + 4i + 12x + x2 = 0

Solving for variable 'i'.

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

Add '-33' to each side of the equation.
33 + 4i + 12x + -33 + x2 = 0 + -33

Reorder the terms:
33 + -33 + 4i + 12x + x2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 4i + 12x + x2 = 0 + -33
4i + 12x + x2 = 0 + -33

Combine like terms: 0 + -33 = -33
4i + 12x + x2 = -33

Add '-12x' to each side of the equation.
4i + 12x + -12x + x2 = -33 + -12x

Combine like terms: 12x + -12x = 0
4i + 0 + x2 = -33 + -12x
4i + x2 = -33 + -12x

Add '-1x2' to each side of the equation.
4i + x2 + -1x2 = -33 + -12x + -1x2

Combine like terms: x2 + -1x2 = 0
4i + 0 = -33 + -12x + -1x2
4i = -33 + -12x + -1x2

Divide each side by '4'.
i = -8.25 + -3x + -0.25x2

Simplifying
i = -8.25 + -3x + -0.25x2

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