(2+3i)+(7+i)=0

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Solution for (2+3i)+(7+i)=0 equation:


Simplifying
(2 + 3i) + (7 + i) = 0

Remove parenthesis around (2 + 3i)
2 + 3i + (7 + i) = 0

Remove parenthesis around (7 + i)
2 + 3i + 7 + i = 0

Reorder the terms:
2 + 7 + 3i + i = 0

Combine like terms: 2 + 7 = 9
9 + 3i + i = 0

Combine like terms: 3i + i = 4i
9 + 4i = 0

Solving
9 + 4i = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + 4i = 0 + -9

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

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

Divide each side by '4'.
i = -2.25

Simplifying
i = -2.25

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