3i(7-21i)=0

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Solution for 3i(7-21i)=0 equation: 


Simplifying
3i(7 + -21i) = 0
(7 * 3i + -21i * 3i) = 0
(21i + -63i2) = 0

Solving
21i + -63i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '21i'.
21i(1 + -3i) = 0

Ignore the factor 21.

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 '(1 + -3i)' equal to zero and attempt to solve:

Simplifying
1 + -3i = 0

Solving
1 + -3i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3i = 0 + -1
-3i = 0 + -1

Combine like terms: 0 + -1 = -1
-3i = -1

Divide each side by '-3'.
i = 0.3333333333

Simplifying
i = 0.3333333333
Solution
i = {0, 0.3333333333}

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