(1-8i)-(5+2i)=0

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Solution for (1-8i)-(5+2i)=0 equation:


Simplifying
(1 + -8i) + -1(5 + 2i) = 0

Remove parenthesis around (1 + -8i)
1 + -8i + -1(5 + 2i) = 0
1 + -8i + (5 * -1 + 2i * -1) = 0
1 + -8i + (-5 + -2i) = 0

Reorder the terms:
1 + -5 + -8i + -2i = 0

Combine like terms: 1 + -5 = -4
-4 + -8i + -2i = 0

Combine like terms: -8i + -2i = -10i
-4 + -10i = 0

Solving
-4 + -10i = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 4 + -10i = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -10i = 0 + 4
-10i = 0 + 4

Combine like terms: 0 + 4 = 4
-10i = 4

Divide each side by '-10'.
i = -0.4

Simplifying
i = -0.4

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