6i(-3i+3)=0

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Solution for 6i(-3i+3)=0 equation: 


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

Reorder the terms:
6i(3 + -3i) = 0
(3 * 6i + -3i * 6i) = 0
(18i + -18i2) = 0

Solving
18i + -18i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '18i'.
18i(1 + -1i) = 0

Ignore the factor 18.

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 '(1 + -1i)' equal to zero and attempt to solve:

Simplifying
1 + -1i = 0

Solving
1 + -1i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1i = 0 + -1
-1i = 0 + -1

Combine like terms: 0 + -1 = -1
-1i = -1

Divide each side by '-1'.
i = 1

Simplifying
i = 1
Solution
i = {0, 1}

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