2i(4-3i)+6i=0

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Solution for 2i(4-3i)+6i=0 equation: 


Simplifying
2i(4 + -3i) + 6i = 0
(4 * 2i + -3i * 2i) + 6i = 0
(8i + -6i2) + 6i = 0

Reorder the terms:
8i + 6i + -6i2 = 0

Combine like terms: 8i + 6i = 14i
14i + -6i2 = 0

Solving
14i + -6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2i'.
2i(7 + -3i) = 0

Ignore the factor 2.

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 '(7 + -3i)' equal to zero and attempt to solve:

Simplifying
7 + -3i = 0

Solving
7 + -3i = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3i = 0 + -7
-3i = 0 + -7

Combine like terms: 0 + -7 = -7
-3i = -7

Divide each side by '-3'.
i = 2.333333333

Simplifying
i = 2.333333333
Solution
i = {0, 2.333333333}

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