-i-3-(4-5i)-(5-3i)=

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Solution for -i-3-(4-5i)-(5-3i)= equation:


Simplifying
-1i + -3 + -1(4 + -5i) + -1(5 + -3i) = 0
-1i + -3 + (4 * -1 + -5i * -1) + -1(5 + -3i) = 0
-1i + -3 + (-4 + 5i) + -1(5 + -3i) = 0
-1i + -3 + -4 + 5i + (5 * -1 + -3i * -1) = 0
-1i + -3 + -4 + 5i + (-5 + 3i) = 0

Reorder the terms:
-3 + -4 + -5 + -1i + 5i + 3i = 0

Combine like terms: -3 + -4 = -7
-7 + -5 + -1i + 5i + 3i = 0

Combine like terms: -7 + -5 = -12
-12 + -1i + 5i + 3i = 0

Combine like terms: -1i + 5i = 4i
-12 + 4i + 3i = 0

Combine like terms: 4i + 3i = 7i
-12 + 7i = 0

Solving
-12 + 7i = 0

Solving for variable 'i'.

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

Add '12' to each side of the equation.
-12 + 12 + 7i = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 7i = 0 + 12
7i = 0 + 12

Combine like terms: 0 + 12 = 12
7i = 12

Divide each side by '7'.
i = 1.714285714

Simplifying
i = 1.714285714

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