(-5i)(3i)(-4+6i)=

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Solution for (-5i)(3i)(-4+6i)= equation: 


Simplifying
(-5i)(3i)(-4 + 6i) = 0

Remove parenthesis around (-5i)
-5i(3i)(-4 + 6i) = 0

Remove parenthesis around (3i)
-5i * 3i(-4 + 6i) = 0

Reorder the terms for easier multiplication:
-5 * 3i * i(-4 + 6i) = 0

Multiply -5 * 3
-15i * i(-4 + 6i) = 0

Multiply i * i
-15i2(-4 + 6i) = 0
(-4 * -15i2 + 6i * -15i2) = 0
(60i2 + -90i3) = 0

Solving
60i2 + -90i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '30i2'.
30i2(2 + -3i) = 0

Ignore the factor 30.

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 '(2 + -3i)' equal to zero and attempt to solve:

Simplifying
2 + -3i = 0

Solving
2 + -3i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3i = 0 + -2
-3i = 0 + -2

Combine like terms: 0 + -2 = -2
-3i = -2

Divide each side by '-3'.
i = 0.6666666667

Simplifying
i = 0.6666666667
Solution
i = {0, 0.6666666667}

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