(2i+0j)(3i+3j)=

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Solution for (2i+0j)(3i+3j)= equation: 


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

Anything times zero is zero.
(2i + 0j)(3i + 3j) = 0

Reorder the terms:
(0 + 2i)(3i + 3j) = 0
Remove the zero:
(2i)(3i + 3j) = 0

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

Reorder the terms:
(6ij + 6i2) = 0
(6ij + 6i2) = 0

Solving
6ij + 6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '6i'.
6i(j + i) = 0

Ignore the factor 6.

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

Simplifying
j + i = 0

Reorder the terms:
i + j = 0

Solving
i + j = 0

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

Add '-1j' to each side of the equation.
i + j + -1j = 0 + -1j

Combine like terms: j + -1j = 0
i + 0 = 0 + -1j
i = 0 + -1j
Remove the zero:
i = -1j

Simplifying
i = -1j
Solution
i = {0, -1j}

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