-I-2-(4-5i)-(2-4i)=

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Solution for -I-2-(4-5i)-(2-4i)= equation: 


Simplifying
-1I + -2 + -1(4 + -5i) + -1(2 + -4i) = 0
-1I + -2 + (4 * -1 + -5i * -1) + -1(2 + -4i) = 0
-1I + -2 + (-4 + 5i) + -1(2 + -4i) = 0
-1I + -2 + -4 + 5i + (2 * -1 + -4i * -1) = 0
-1I + -2 + -4 + 5i + (-2 + 4i) = 0

Reorder the terms:
-2 + -4 + -2 + -1I + 5i + 4i = 0

Combine like terms: -2 + -4 = -6
-6 + -2 + -1I + 5i + 4i = 0

Combine like terms: -6 + -2 = -8
-8 + -1I + 5i + 4i = 0

Combine like terms: 5i + 4i = 9i
-8 + -1I + 9i = 0

Solving
-8 + -1I + 9i = 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 + -1I + 8 + 9i = 0 + 8

Reorder the terms:
-8 + 8 + -1I + 9i = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1I + 9i = 0 + 8
-1I + 9i = 0 + 8

Combine like terms: 0 + 8 = 8
-1I + 9i = 8

Add '-9i' to each side of the equation.
-1I + 9i + -9i = 8 + -9i

Combine like terms: 9i + -9i = 0
-1I + 0 = 8 + -9i
-1I = 8 + -9i

Divide each side by '-1'.
I = -8 + 9i

Simplifying
I = -8 + 9i

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