-2(4i)(-3+5i)=

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Solution for -2(4i)(-3+5i)= equation: 


Simplifying
-2(4i)(-3 + 5i) = 0

Remove parenthesis around (4i)
-2 * 4i(-3 + 5i) = 0

Multiply -2 * 4
-8i(-3 + 5i) = 0
(-3 * -8i + 5i * -8i) = 0
(24i + -40i2) = 0

Solving
24i + -40i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '8i'.
8i(3 + -5i) = 0

Ignore the factor 8.

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 '(3 + -5i)' equal to zero and attempt to solve:

Simplifying
3 + -5i = 0

Solving
3 + -5i = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5i = 0 + -3
-5i = 0 + -3

Combine like terms: 0 + -3 = -3
-5i = -3

Divide each side by '-5'.
i = 0.6

Simplifying
i = 0.6
Solution
i = {0, 0.6}

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