4i+3i(8-5i)=

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Solution for 4i+3i(8-5i)= equation: 


Simplifying
4i + 3i(8 + -5i) = 0
4i + (8 * 3i + -5i * 3i) = 0
4i + (24i + -15i2) = 0

Combine like terms: 4i + 24i = 28i
28i + -15i2 = 0

Solving
28i + -15i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'i'.
i(28 + -15i) = 0


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 '(28 + -15i)' equal to zero and attempt to solve:

Simplifying
28 + -15i = 0

Solving
28 + -15i = 0

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

Add '-28' to each side of the equation.
28 + -28 + -15i = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -15i = 0 + -28
-15i = 0 + -28

Combine like terms: 0 + -28 = -28
-15i = -28

Divide each side by '-15'.
i = 1.866666667

Simplifying
i = 1.866666667
Solution
i = {0, 1.866666667}

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