(-4i)(i)(8+6i)=

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Solution for (-4i)(i)(8+6i)= equation: 


Simplifying
(-4i)(i)(8 + 6i) = 0

Remove parenthesis around (-4i)
-4i(i)(8 + 6i) = 0

Multiply i * i
-4i2(8 + 6i) = 0
(8 * -4i2 + 6i * -4i2) = 0
(-32i2 + -24i3) = 0

Solving
-32i2 + -24i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-8i2'.
-8i2(4 + 3i) = 0

Ignore the factor -8.

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 '(4 + 3i)' equal to zero and attempt to solve:

Simplifying
4 + 3i = 0

Solving
4 + 3i = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3i = 0 + -4
3i = 0 + -4

Combine like terms: 0 + -4 = -4
3i = -4

Divide each side by '3'.
i = -1.333333333

Simplifying
i = -1.333333333
Solution
i = {0, -1.333333333}

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