5i(8-6i)=

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Solution for 5i(8-6i)= equation: 


Simplifying
5i(8 + -6i) = 0
(8 * 5i + -6i * 5i) = 0
(40i + -30i2) = 0

Solving
40i + -30i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '10i'.
10i(4 + -3i) = 0

Ignore the factor 10.

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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