3i(-2+5i)=

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Solution for 3i(-2+5i)= equation: 


Simplifying
3i(-2 + 5i) = 0
(-2 * 3i + 5i * 3i) = 0
(-6i + 15i2) = 0

Solving
-6i + 15i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3i'.
3i(-2 + 5i) = 0

Ignore the factor 3.

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 '(-2 + 5i)' equal to zero and attempt to solve:

Simplifying
-2 + 5i = 0

Solving
-2 + 5i = 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 + 5i = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5i = 0 + 2
5i = 0 + 2

Combine like terms: 0 + 2 = 2
5i = 2

Divide each side by '5'.
i = 0.4

Simplifying
i = 0.4
Solution
i = {0, 0.4}

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