(5+8i)-(3-7i)=0

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Solution for (5+8i)-(3-7i)=0 equation:


Simplifying
(5 + 8i) + -1(3 + -7i) = 0

Remove parenthesis around (5 + 8i)
5 + 8i + -1(3 + -7i) = 0
5 + 8i + (3 * -1 + -7i * -1) = 0
5 + 8i + (-3 + 7i) = 0

Reorder the terms:
5 + -3 + 8i + 7i = 0

Combine like terms: 5 + -3 = 2
2 + 8i + 7i = 0

Combine like terms: 8i + 7i = 15i
2 + 15i = 0

Solving
2 + 15i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + 15i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 15i = 0 + -2
15i = 0 + -2

Combine like terms: 0 + -2 = -2
15i = -2

Divide each side by '15'.
i = -0.1333333333

Simplifying
i = -0.1333333333

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