(7+4i)-(1-2i)=1

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Solution for (7+4i)-(1-2i)=1 equation:


Simplifying
(7 + 4i) + -1(1 + -2i) = 1

Remove parenthesis around (7 + 4i)
7 + 4i + -1(1 + -2i) = 1
7 + 4i + (1 * -1 + -2i * -1) = 1
7 + 4i + (-1 + 2i) = 1

Reorder the terms:
7 + -1 + 4i + 2i = 1

Combine like terms: 7 + -1 = 6
6 + 4i + 2i = 1

Combine like terms: 4i + 2i = 6i
6 + 6i = 1

Solving
6 + 6i = 1

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -6 + 6i = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 6i = 1 + -6
6i = 1 + -6

Combine like terms: 1 + -6 = -5
6i = -5

Divide each side by '6'.
i = -0.8333333333

Simplifying
i = -0.8333333333

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