(2-5i)-(7-8i)=

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Solution for (2-5i)-(7-8i)= equation:


Simplifying
(2 + -5i) + -1(7 + -8i) = 0

Remove parenthesis around (2 + -5i)
2 + -5i + -1(7 + -8i) = 0
2 + -5i + (7 * -1 + -8i * -1) = 0
2 + -5i + (-7 + 8i) = 0

Reorder the terms:
2 + -7 + -5i + 8i = 0

Combine like terms: 2 + -7 = -5
-5 + -5i + 8i = 0

Combine like terms: -5i + 8i = 3i
-5 + 3i = 0

Solving
-5 + 3i = 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 + 3i = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3i = 0 + 5
3i = 0 + 5

Combine like terms: 0 + 5 = 5
3i = 5

Divide each side by '3'.
i = 1.666666667

Simplifying
i = 1.666666667

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