(2-3i)+(-1+4i)=

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Solution for (2-3i)+(-1+4i)= equation:


Simplifying
(2 + -3i) + (-1 + 4i) = 0

Remove parenthesis around (2 + -3i)
2 + -3i + (-1 + 4i) = 0

Remove parenthesis around (-1 + 4i)
2 + -3i + -1 + 4i = 0

Reorder the terms:
2 + -1 + -3i + 4i = 0

Combine like terms: 2 + -1 = 1
1 + -3i + 4i = 0

Combine like terms: -3i + 4i = 1i
1 + 1i = 0

Solving
1 + 1i = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1 + 1i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1i = 0 + -1
1i = 0 + -1

Combine like terms: 0 + -1 = -1
1i = -1

Divide each side by '1'.
i = -1

Simplifying
i = -1

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