(10+15i)-(48-30i)=

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Solution for (10+15i)-(48-30i)= equation:


Simplifying
(10 + 15i) + -1(48 + -30i) = 0

Remove parenthesis around (10 + 15i)
10 + 15i + -1(48 + -30i) = 0
10 + 15i + (48 * -1 + -30i * -1) = 0
10 + 15i + (-48 + 30i) = 0

Reorder the terms:
10 + -48 + 15i + 30i = 0

Combine like terms: 10 + -48 = -38
-38 + 15i + 30i = 0

Combine like terms: 15i + 30i = 45i
-38 + 45i = 0

Solving
-38 + 45i = 0

Solving for variable 'i'.

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

Add '38' to each side of the equation.
-38 + 38 + 45i = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 45i = 0 + 38
45i = 0 + 38

Combine like terms: 0 + 38 = 38
45i = 38

Divide each side by '45'.
i = 0.8444444444

Simplifying
i = 0.8444444444

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