(4+8i)-(9+4i)=

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Solution for (4+8i)-(9+4i)= equation:


Simplifying
(4 + 8i) + -1(9 + 4i) = 0

Remove parenthesis around (4 + 8i)
4 + 8i + -1(9 + 4i) = 0
4 + 8i + (9 * -1 + 4i * -1) = 0
4 + 8i + (-9 + -4i) = 0

Reorder the terms:
4 + -9 + 8i + -4i = 0

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

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

Solving
-5 + 4i = 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 + 4i = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4i = 0 + 5
4i = 0 + 5

Combine like terms: 0 + 5 = 5
4i = 5

Divide each side by '4'.
i = 1.25

Simplifying
i = 1.25

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