10i(5+8i)=0

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Solution for 10i(5+8i)=0 equation: 


Simplifying
10i(5 + 8i) = 0
(5 * 10i + 8i * 10i) = 0
(50i + 80i2) = 0

Solving
50i + 80i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '10i'.
10i(5 + 8i) = 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 '(5 + 8i)' equal to zero and attempt to solve:

Simplifying
5 + 8i = 0

Solving
5 + 8i = 0

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

Add '-5' to each side of the equation.
5 + -5 + 8i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8i = 0 + -5
8i = 0 + -5

Combine like terms: 0 + -5 = -5
8i = -5

Divide each side by '8'.
i = -0.625

Simplifying
i = -0.625
Solution
i = {0, -0.625}

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