(4+3i)-(2-6i)=0

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Solution for (4+3i)-(2-6i)=0 equation:


Simplifying
(4 + 3i) + -1(2 + -6i) = 0

Remove parenthesis around (4 + 3i)
4 + 3i + -1(2 + -6i) = 0
4 + 3i + (2 * -1 + -6i * -1) = 0
4 + 3i + (-2 + 6i) = 0

Reorder the terms:
4 + -2 + 3i + 6i = 0

Combine like terms: 4 + -2 = 2
2 + 3i + 6i = 0

Combine like terms: 3i + 6i = 9i
2 + 9i = 0

Solving
2 + 9i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + 9i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9i = 0 + -2
9i = 0 + -2

Combine like terms: 0 + -2 = -2
9i = -2

Divide each side by '9'.
i = -0.2222222222

Simplifying
i = -0.2222222222

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