5i(13-8i)=

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Solution for 5i(13-8i)= equation: 


Simplifying
5i(13 + -8i) = 0
(13 * 5i + -8i * 5i) = 0
(65i + -40i2) = 0

Solving
65i + -40i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '5i'.
5i(13 + -8i) = 0

Ignore the factor 5.

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 '(13 + -8i)' equal to zero and attempt to solve:

Simplifying
13 + -8i = 0

Solving
13 + -8i = 0

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

Add '-13' to each side of the equation.
13 + -13 + -8i = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -8i = 0 + -13
-8i = 0 + -13

Combine like terms: 0 + -13 = -13
-8i = -13

Divide each side by '-8'.
i = 1.625

Simplifying
i = 1.625
Solution
i = {0, 1.625}

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