3(-7-i)-5(-8-5i)=0

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Solution for 3(-7-i)-5(-8-5i)=0 equation:


Simplifying
3(-7 + -1i) + -5(-8 + -5i) = 0
(-7 * 3 + -1i * 3) + -5(-8 + -5i) = 0
(-21 + -3i) + -5(-8 + -5i) = 0
-21 + -3i + (-8 * -5 + -5i * -5) = 0
-21 + -3i + (40 + 25i) = 0

Reorder the terms:
-21 + 40 + -3i + 25i = 0

Combine like terms: -21 + 40 = 19
19 + -3i + 25i = 0

Combine like terms: -3i + 25i = 22i
19 + 22i = 0

Solving
19 + 22i = 0

Solving for variable 'i'.

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

Add '-19' to each side of the equation.
19 + -19 + 22i = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 22i = 0 + -19
22i = 0 + -19

Combine like terms: 0 + -19 = -19
22i = -19

Divide each side by '22'.
i = -0.8636363636

Simplifying
i = -0.8636363636

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