(-5+4i)-(5+7i)+(4-9i)=

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Solution for (-5+4i)-(5+7i)+(4-9i)= equation:


Simplifying
(-5 + 4i) + -1(5 + 7i) + (4 + -9i) = 0

Remove parenthesis around (-5 + 4i)
-5 + 4i + -1(5 + 7i) + (4 + -9i) = 0
-5 + 4i + (5 * -1 + 7i * -1) + (4 + -9i) = 0
-5 + 4i + (-5 + -7i) + (4 + -9i) = 0

Remove parenthesis around (4 + -9i)
-5 + 4i + -5 + -7i + 4 + -9i = 0

Reorder the terms:
-5 + -5 + 4 + 4i + -7i + -9i = 0

Combine like terms: -5 + -5 = -10
-10 + 4 + 4i + -7i + -9i = 0

Combine like terms: -10 + 4 = -6
-6 + 4i + -7i + -9i = 0

Combine like terms: 4i + -7i = -3i
-6 + -3i + -9i = 0

Combine like terms: -3i + -9i = -12i
-6 + -12i = 0

Solving
-6 + -12i = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 6 + -12i = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -12i = 0 + 6
-12i = 0 + 6

Combine like terms: 0 + 6 = 6
-12i = 6

Divide each side by '-12'.
i = -0.5

Simplifying
i = -0.5

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