(6i-5)-(2i+3)=

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Solution for (6i-5)-(2i+3)= equation:


Simplifying
(6i + -5) + -1(2i + 3) = 0

Reorder the terms:
(-5 + 6i) + -1(2i + 3) = 0

Remove parenthesis around (-5 + 6i)
-5 + 6i + -1(2i + 3) = 0

Reorder the terms:
-5 + 6i + -1(3 + 2i) = 0
-5 + 6i + (3 * -1 + 2i * -1) = 0
-5 + 6i + (-3 + -2i) = 0

Reorder the terms:
-5 + -3 + 6i + -2i = 0

Combine like terms: -5 + -3 = -8
-8 + 6i + -2i = 0

Combine like terms: 6i + -2i = 4i
-8 + 4i = 0

Solving
-8 + 4i = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 8 + 4i = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 4i = 0 + 8
4i = 0 + 8

Combine like terms: 0 + 8 = 8
4i = 8

Divide each side by '4'.
i = 2

Simplifying
i = 2

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