(2+3i)(4i)=

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


Simplifying
(2 + 3i)(4i) = 0

Remove parenthesis around (4i)
(2 + 3i) * 4i = 0

Reorder the terms for easier multiplication:
4i(2 + 3i) = 0
(2 * 4i + 3i * 4i) = 0
(8i + 12i2) = 0

Solving
8i + 12i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4i'.
4i(2 + 3i) = 0

Ignore the factor 4.

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 '(2 + 3i)' equal to zero and attempt to solve:

Simplifying
2 + 3i = 0

Solving
2 + 3i = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3i = 0 + -2
3i = 0 + -2

Combine like terms: 0 + -2 = -2
3i = -2

Divide each side by '3'.
i = -0.6666666667

Simplifying
i = -0.6666666667
Solution
i = {0, -0.6666666667}

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