6i(4+2i)=equation

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Solution for 6i(4+2i)=equation equation: 


Simplifying
6i(4 + 2i) = equation
(4 * 6i + 2i * 6i) = equation
(24i + 12i2) = equation

Solving
24i + 12i2 = aeinoqtu

Solving for variable 'i'.

Reorder the terms:
-1aeinoqtu + 24i + 12i2 = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
-1aeinoqtu + 24i + 12i2 = 0

Factor out the Greatest Common Factor (GCF), 'i'.
i(-1aenoqtu + 24 + 12i) = 0


Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0

Subproblem 2
Set the factor '(-1aenoqtu + 24 + 12i)' equal to zero and attempt to solve:

Simplifying
-1aenoqtu + 24 + 12i = 0

Reorder the terms:
24 + -1aenoqtu + 12i = 0

Solving
24 + -1aenoqtu + 12i = 0

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

Add '-24' to each side of the equation.
24 + -1aenoqtu + -24 + 12i = 0 + -24

Reorder the terms:
24 + -24 + -1aenoqtu + 12i = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1aenoqtu + 12i = 0 + -24
-1aenoqtu + 12i = 0 + -24

Combine like terms: 0 + -24 = -24
-1aenoqtu + 12i = -24

Add 'aenoqtu' to each side of the equation.
-1aenoqtu + aenoqtu + 12i = -24 + aenoqtu

Combine like terms: -1aenoqtu + aenoqtu = 0
0 + 12i = -24 + aenoqtu
12i = -24 + aenoqtu

Divide each side by '12'.
i = -2 + 0.08333333333aenoqtu

Simplifying
i = -2 + 0.08333333333aenoqtu
Solution
i = {0, -2 + 0.08333333333aenoqtu}

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