xw+x=0

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Solution for xw+x=0 equation: 


Simplifying
xw + x = 0

Solving
wx + x = 0

Solving for variable 'w'.

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

Add '-1x' to each side of the equation.
wx + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
wx + 0 = 0 + -1x
wx = 0 + -1x
Remove the zero:
wx = -1x

Divide each side by 'x'.
w = -1

Simplifying
w = -1

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