Solve(3i)x^2+(2-4i)x+12-2i=0

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Solution for Solve(3i)x^2+(2-4i)x+12-2i=0 equation: 


Simplifying
Solve(3i) * x2 + (2 + -4i) * x + 12 + -2i = 0

Remove parenthesis around (3i)
elovS * 3i * x2 + (2 + -4i) * x + 12 + -2i = 0

Reorder the terms for easier multiplication:
3elovS * i * x2 + (2 + -4i) * x + 12 + -2i = 0

Multiply elovS * i
3eilovS * x2 + (2 + -4i) * x + 12 + -2i = 0

Multiply eilovS * x2
3eilovx2S + (2 + -4i) * x + 12 + -2i = 0

Reorder the terms for easier multiplication:
3eilovx2S + x(2 + -4i) + 12 + -2i = 0
3eilovx2S + (2 * x + -4i * x) + 12 + -2i = 0

Reorder the terms:
3eilovx2S + (-4ix + 2x) + 12 + -2i = 0
3eilovx2S + (-4ix + 2x) + 12 + -2i = 0

Reorder the terms:
12 + 3eilovx2S + -2i + -4ix + 2x = 0

Solving
12 + 3eilovx2S + -2i + -4ix + 2x = 0

Solving for variable 'e'.

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

Add '-12' to each side of the equation.
12 + 3eilovx2S + -2i + -4ix + -12 + 2x = 0 + -12

Reorder the terms:
12 + -12 + 3eilovx2S + -2i + -4ix + 2x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3eilovx2S + -2i + -4ix + 2x = 0 + -12
3eilovx2S + -2i + -4ix + 2x = 0 + -12

Combine like terms: 0 + -12 = -12
3eilovx2S + -2i + -4ix + 2x = -12

Add '2i' to each side of the equation.
3eilovx2S + -2i + -4ix + 2i + 2x = -12 + 2i

Reorder the terms:
3eilovx2S + -2i + 2i + -4ix + 2x = -12 + 2i

Combine like terms: -2i + 2i = 0
3eilovx2S + 0 + -4ix + 2x = -12 + 2i
3eilovx2S + -4ix + 2x = -12 + 2i

Add '4ix' to each side of the equation.
3eilovx2S + -4ix + 4ix + 2x = -12 + 2i + 4ix

Combine like terms: -4ix + 4ix = 0
3eilovx2S + 0 + 2x = -12 + 2i + 4ix
3eilovx2S + 2x = -12 + 2i + 4ix

Add '-2x' to each side of the equation.
3eilovx2S + 2x + -2x = -12 + 2i + 4ix + -2x

Combine like terms: 2x + -2x = 0
3eilovx2S + 0 = -12 + 2i + 4ix + -2x
3eilovx2S = -12 + 2i + 4ix + -2x

Divide each side by '3ilovx2S'.
e = -4i-1l-1o-1v-1x-2S-1 + 0.6666666667l-1o-1v-1x-2S-1 + 1.333333333l-1o-1v-1x-1S-1 + -0.6666666667i-1l-1o-1v-1x-1S-1

Simplifying
e = -4i-1l-1o-1v-1x-2S-1 + 0.6666666667l-1o-1v-1x-2S-1 + 1.333333333l-1o-1v-1x-1S-1 + -0.6666666667i-1l-1o-1v-1x-1S-1

Reorder the terms:
e = -4i-1l-1o-1v-1x-2S-1 + -0.6666666667i-1l-1o-1v-1x-1S-1 + 0.6666666667l-1o-1v-1x-2S-1 + 1.333333333l-1o-1v-1x-1S-1

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