6i(-8+6i)=

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


Simplifying
6i(-8 + 6i) = 0
(-8 * 6i + 6i * 6i) = 0
(-48i + 36i2) = 0

Solving
-48i + 36i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '12i'.
12i(-4 + 3i) = 0

Ignore the factor 12.

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 '(-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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