(7i)(7i)(7-3i)=

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


Simplifying
(7i)(7i)(7 + -3i) = 0

Remove parenthesis around (7i)
7i(7i)(7 + -3i) = 0

Remove parenthesis around (7i)
7i * 7i(7 + -3i) = 0

Reorder the terms for easier multiplication:
7 * 7i * i(7 + -3i) = 0

Multiply 7 * 7
49i * i(7 + -3i) = 0

Multiply i * i
49i2(7 + -3i) = 0
(7 * 49i2 + -3i * 49i2) = 0
(343i2 + -147i3) = 0

Solving
343i2 + -147i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '49i2'.
49i2(7 + -3i) = 0

Ignore the factor 49.

Subproblem 1
Set the factor 'i2' equal to zero and attempt to solve:

Simplifying
i2 = 0

Solving
i2 = 0

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

Simplifying
i2 = 0

Take the square root of each side:
i = {0}

Subproblem 2
Set the factor '(7 + -3i)' equal to zero and attempt to solve:

Simplifying
7 + -3i = 0

Solving
7 + -3i = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3i = 0 + -7
-3i = 0 + -7

Combine like terms: 0 + -7 = -7
-3i = -7

Divide each side by '-3'.
i = 2.333333333

Simplifying
i = 2.333333333
Solution
i = {0, 2.333333333}

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