(242-89i)-(-26+32i)-(15-78i)=

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Solution for (242-89i)-(-26+32i)-(15-78i)= equation: 


Simplifying
(242 + -89i) + -1(-26 + 32i) + -1(15 + -78i) = 0

Remove parenthesis around (242 + -89i)
242 + -89i + -1(-26 + 32i) + -1(15 + -78i) = 0
242 + -89i + (-26 * -1 + 32i * -1) + -1(15 + -78i) = 0
242 + -89i + (26 + -32i) + -1(15 + -78i) = 0
242 + -89i + 26 + -32i + (15 * -1 + -78i * -1) = 0
242 + -89i + 26 + -32i + (-15 + 78i) = 0

Reorder the terms:
242 + 26 + -15 + -89i + -32i + 78i = 0

Combine like terms: 242 + 26 = 268
268 + -15 + -89i + -32i + 78i = 0

Combine like terms: 268 + -15 = 253
253 + -89i + -32i + 78i = 0

Combine like terms: -89i + -32i = -121i
253 + -121i + 78i = 0

Combine like terms: -121i + 78i = -43i
253 + -43i = 0

Solving
253 + -43i = 0

Solving for variable 'i'.

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

Add '-253' to each side of the equation.
253 + -253 + -43i = 0 + -253

Combine like terms: 253 + -253 = 0
0 + -43i = 0 + -253
-43i = 0 + -253

Combine like terms: 0 + -253 = -253
-43i = -253

Divide each side by '-43'.
i = 5.88372093

Simplifying
i = 5.88372093

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