i(3i+2)=

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


Simplifying
i(3i + 2) = 0

Reorder the terms:
i(2 + 3i) = 0
(2 * i + 3i * i) = 0
(2i + 3i2) = 0

Solving
2i + 3i2 = 0

Solving for variable 'i'.

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