2i(18+14i)=

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Solution for 2i(18+14i)= equation: 


Simplifying
2i(18 + 14i) = 0
(18 * 2i + 14i * 2i) = 0
(36i + 28i2) = 0

Solving
36i + 28i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4i'.
4i(9 + 7i) = 0

Ignore the factor 4.

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 '(9 + 7i)' equal to zero and attempt to solve:

Simplifying
9 + 7i = 0

Solving
9 + 7i = 0

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

Add '-9' to each side of the equation.
9 + -9 + 7i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7i = 0 + -9
7i = 0 + -9

Combine like terms: 0 + -9 = -9
7i = -9

Divide each side by '7'.
i = -1.285714286

Simplifying
i = -1.285714286
Solution
i = {0, -1.285714286}

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