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

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


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

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

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

Combine like terms: 3 + -4 = -1
-1 + 3i + -6i = 0

Combine like terms: 3i + -6i = -3i
-1 + -3i = 0

Solving
-1 + -3i = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + -3i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3i = 0 + 1
-3i = 0 + 1

Combine like terms: 0 + 1 = 1
-3i = 1

Divide each side by '-3'.
i = -0.3333333333

Simplifying
i = -0.3333333333

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