xy(x+y+i)=

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Solution for xy(x+y+i)= equation:


Simplifying
xy(x + y + i) = 0

Reorder the terms:
xy(i + x + y) = 0
(i * xy + x * xy + y * xy) = 0

Reorder the terms:
(ixy + xy2 + x2y) = 0
(ixy + xy2 + x2y) = 0

Solving
ixy + xy2 + x2y = 0

Solving for variable 'i'.

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

Add '-1xy2' to each side of the equation.
ixy + xy2 + -1xy2 + x2y = 0 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
ixy + 0 + x2y = 0 + -1xy2
ixy + x2y = 0 + -1xy2
Remove the zero:
ixy + x2y = -1xy2

Add '-1x2y' to each side of the equation.
ixy + x2y + -1x2y = -1xy2 + -1x2y

Combine like terms: x2y + -1x2y = 0
ixy + 0 = -1xy2 + -1x2y
ixy = -1xy2 + -1x2y

Divide each side by 'xy'.
i = -1y + -1x

Simplifying
i = -1y + -1x

Reorder the terms:
i = -1x + -1y

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