(2i)+(3i)+(i)(8+2i)=

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Solution for (2i)+(3i)+(i)(8+2i)= equation: 


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

Combine like terms: (2i) + (3i) = 5i
5i + 8i + 2i2 = 0

Combine like terms: 5i + 8i = 13i
13i + 2i2 = 0

Solving
13i + 2i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'i'.
i(13 + 2i) = 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 '(13 + 2i)' equal to zero and attempt to solve:

Simplifying
13 + 2i = 0

Solving
13 + 2i = 0

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

Add '-13' to each side of the equation.
13 + -13 + 2i = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2i = 0 + -13
2i = 0 + -13

Combine like terms: 0 + -13 = -13
2i = -13

Divide each side by '2'.
i = -6.5

Simplifying
i = -6.5
Solution
i = {0, -6.5}

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