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Solve for u
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y\left(u+1\right)=0
Variable u cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by u+1.
yu+y=0
Use the distributive property to multiply y by u+1.
yu=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
\frac{yu}{y}=-\frac{y}{y}
Divide both sides by y.
u=-\frac{y}{y}
Dividing by y undoes the multiplication by y.
u=-1
Divide -y by y.
u\in \emptyset
Variable u cannot be equal to -1.