89r+78i=56i-45r

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Solution for 89r+78i=56i-45r equation:


Simplifying
89r + 78i = 56i + -45r

Reorder the terms:
78i + 89r = 56i + -45r

Solving
78i + 89r = 56i + -45r

Solving for variable 'i'.

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

Add '-56i' to each side of the equation.
78i + -56i + 89r = 56i + -56i + -45r

Combine like terms: 78i + -56i = 22i
22i + 89r = 56i + -56i + -45r

Combine like terms: 56i + -56i = 0
22i + 89r = 0 + -45r
22i + 89r = -45r

Add '-89r' to each side of the equation.
22i + 89r + -89r = -45r + -89r

Combine like terms: 89r + -89r = 0
22i + 0 = -45r + -89r
22i = -45r + -89r

Combine like terms: -45r + -89r = -134r
22i = -134r

Divide each side by '22'.
i = -6.090909091r

Simplifying
i = -6.090909091r

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