(3i)(i)(8-3i)=

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Solution for (3i)(i)(8-3i)= equation:


Simplifying
(3i)(i)(8 + -3i) = 0

Remove parenthesis around (3i)
3i(i)(8 + -3i) = 0

Multiply i * i
3i2(8 + -3i) = 0
(8 * 3i2 + -3i * 3i2) = 0
(24i2 + -9i3) = 0

Solving
24i2 + -9i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3i2'.
3i2(8 + -3i) = 0

Ignore the factor 3.

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 '(8 + -3i)' equal to zero and attempt to solve:

Simplifying
8 + -3i = 0

Solving
8 + -3i = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3i = 0 + -8
-3i = 0 + -8

Combine like terms: 0 + -8 = -8
-3i = -8

Divide each side by '-3'.
i = 2.666666667

Simplifying
i = 2.666666667
Solution
i = {0, 2.666666667}

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