(-2+4i)-(3+9i)=

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Solution for (-2+4i)-(3+9i)= equation:


Simplifying
(-2 + 4i) + -1(3 + 9i) = 0

Remove parenthesis around (-2 + 4i)
-2 + 4i + -1(3 + 9i) = 0
-2 + 4i + (3 * -1 + 9i * -1) = 0
-2 + 4i + (-3 + -9i) = 0

Reorder the terms:
-2 + -3 + 4i + -9i = 0

Combine like terms: -2 + -3 = -5
-5 + 4i + -9i = 0

Combine like terms: 4i + -9i = -5i
-5 + -5i = 0

Solving
-5 + -5i = 0

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + 5 + -5i = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -5i = 0 + 5
-5i = 0 + 5

Combine like terms: 0 + 5 = 5
-5i = 5

Divide each side by '-5'.
i = -1

Simplifying
i = -1

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