4i(-10+5i)=

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Solution for 4i(-10+5i)= equation: 


Simplifying
4i(-10 + 5i) = 0
(-10 * 4i + 5i * 4i) = 0
(-40i + 20i2) = 0

Solving
-40i + 20i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '20i'.
20i(-2 + i) = 0

Ignore the factor 20.

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 + i)' equal to zero and attempt to solve:

Simplifying
-2 + i = 0

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

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

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

Simplifying
i = 2
Solution
i = {0, 2}

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