(9-7i)-(10-6i)=0

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Solution for (9-7i)-(10-6i)=0 equation:


Simplifying
(9 + -7i) + -1(10 + -6i) = 0

Remove parenthesis around (9 + -7i)
9 + -7i + -1(10 + -6i) = 0
9 + -7i + (10 * -1 + -6i * -1) = 0
9 + -7i + (-10 + 6i) = 0

Reorder the terms:
9 + -10 + -7i + 6i = 0

Combine like terms: 9 + -10 = -1
-1 + -7i + 6i = 0

Combine like terms: -7i + 6i = -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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